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Finding the Fourth Proportional to 284,523.68, 392,638.01 and 157,211.12

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Solution

The fourth proportional to 284,523.68, 392,638.01 and 157,211.12 is: 216,948.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,523.68 : 392,638.01 = 157,211.12 : x
  2. Step 2: Convert to fraction form
    284,523.68/392,638.01 = 157,211.12/x
  3. Step 3: Cross multiply
    284,523.68x = 392,638.01 × 157,211.12
  4. Step 4: Simplify right side
    284,523.68x = 61,727,061,502.21
  5. Step 5: Solve for x
    x = 61,727,061,502.21/284,523.68
  6. Step 6: Final answer
    x = 216,948.76

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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.