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Finding the Fourth Proportional to 257,817.54, 355,853.60 and 176,178.84

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Solution

The fourth proportional to 257,817.54, 355,853.60 and 176,178.84 is: 243,171.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,817.54 : 355,853.60 = 176,178.84 : x
  2. Step 2: Convert to fraction form
    257,817.54/355,853.60 = 176,178.84/x
  3. Step 3: Cross multiply
    257,817.54x = 355,853.60 × 176,178.84
  4. Step 4: Simplify right side
    257,817.54x = 62,693,874,457.82
  5. Step 5: Solve for x
    x = 62,693,874,457.82/257,817.54
  6. Step 6: Final answer
    x = 243,171.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.