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Finding the Fourth Proportional to 284,869.98, 393,128.46 and 157,553.64

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Solution

The fourth proportional to 284,869.98, 393,128.46 and 157,553.64 is: 217,428.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,869.98 : 393,128.46 = 157,553.64 : x
  2. Step 2: Convert to fraction form
    284,869.98/393,128.46 = 157,553.64/x
  3. Step 3: Cross multiply
    284,869.98x = 393,128.46 × 157,553.64
  4. Step 4: Simplify right side
    284,869.98x = 61,938,819,860.59
  5. Step 5: Solve for x
    x = 61,938,819,860.59/284,869.98
  6. Step 6: Final answer
    x = 217,428.39

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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.