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Finding the Fourth Proportional to 284,553.42, 392,683.59 and 157,227.90

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Solution

The fourth proportional to 284,553.42, 392,683.59 and 157,227.90 is: 216,974.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,553.42 : 392,683.59 = 157,227.90 : x
  2. Step 2: Convert to fraction form
    284,553.42/392,683.59 = 157,227.90/x
  3. Step 3: Cross multiply
    284,553.42x = 392,683.59 × 157,227.90
  4. Step 4: Simplify right side
    284,553.42x = 61,740,816,220.16
  5. Step 5: Solve for x
    x = 61,740,816,220.16/284,553.42
  6. Step 6: Final answer
    x = 216,974.43

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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.