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Finding the Fourth Proportional to 284,754.39, 392,969.25 and 157,438.17

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Solution

The fourth proportional to 284,754.39, 392,969.25 and 157,438.17 is: 217,269.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,754.39 : 392,969.25 = 157,438.17 : x
  2. Step 2: Convert to fraction form
    284,754.39/392,969.25 = 157,438.17/x
  3. Step 3: Cross multiply
    284,754.39x = 392,969.25 × 157,438.17
  4. Step 4: Simplify right side
    284,754.39x = 61,868,359,586.27
  5. Step 5: Solve for x
    x = 61,868,359,586.27/284,754.39
  6. Step 6: Final answer
    x = 217,269.20

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