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Finding the Fourth Proportional to 284,231.27, 392,236.74 and 156,904.13

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Solution

The fourth proportional to 284,231.27, 392,236.74 and 156,904.13 is: 216,526.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,231.27 : 392,236.74 = 156,904.13 : x
  2. Step 2: Convert to fraction form
    284,231.27/392,236.74 = 156,904.13/x
  3. Step 3: Cross multiply
    284,231.27x = 392,236.74 × 156,904.13
  4. Step 4: Simplify right side
    284,231.27x = 61,543,564,443.74
  5. Step 5: Solve for x
    x = 61,543,564,443.74/284,231.27
  6. Step 6: Final answer
    x = 216,526.37

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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.