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Finding the Fourth Proportional to 283,048.92, 424,448.73 and 149,898.06

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Solution

The fourth proportional to 283,048.92, 424,448.73 and 149,898.06 is: 224,781.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,048.92 : 424,448.73 = 149,898.06 : x
  2. Step 2: Convert to fraction form
    283,048.92/424,448.73 = 149,898.06/x
  3. Step 3: Cross multiply
    283,048.92x = 424,448.73 × 149,898.06
  4. Step 4: Simplify right side
    283,048.92x = 63,624,041,196.46
  5. Step 5: Solve for x
    x = 63,624,041,196.46/283,048.92
  6. Step 6: Final answer
    x = 224,781.08

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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.