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Finding the Fourth Proportional to 284,732.05, 392,938.43 and 157,415.85

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Solution

The fourth proportional to 284,732.05, 392,938.43 and 157,415.85 is: 217,238.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,732.05 : 392,938.43 = 157,415.85 : x
  2. Step 2: Convert to fraction form
    284,732.05/392,938.43 = 157,415.85/x
  3. Step 3: Cross multiply
    284,732.05x = 392,938.43 × 157,415.85
  4. Step 4: Simplify right side
    284,732.05x = 61,854,734,991.42
  5. Step 5: Solve for x
    x = 61,854,734,991.42/284,732.05
  6. Step 6: Final answer
    x = 217,238.40

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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.