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Finding the Fourth Proportional to 654,283.84, 981,424.56 and 205,039.12

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Solution

The fourth proportional to 654,283.84, 981,424.56 and 205,039.12 is: 307,558.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,283.84 : 981,424.56 = 205,039.12 : x
  2. Step 2: Convert to fraction form
    654,283.84/981,424.56 = 205,039.12/x
  3. Step 3: Cross multiply
    654,283.84x = 981,424.56 × 205,039.12
  4. Step 4: Simplify right side
    654,283.84x = 201,230,428,128.79
  5. Step 5: Solve for x
    x = 201,230,428,128.79/654,283.84
  6. Step 6: Final answer
    x = 307,558.30

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.