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Finding the Fourth Proportional to 284,892.71, 392,767.20 and 182,740.83

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Solution

The fourth proportional to 284,892.71, 392,767.20 and 182,740.83 is: 251,935.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,892.71 : 392,767.20 = 182,740.83 : x
  2. Step 2: Convert to fraction form
    284,892.71/392,767.20 = 182,740.83/x
  3. Step 3: Cross multiply
    284,892.71x = 392,767.20 × 182,740.83
  4. Step 4: Simplify right side
    284,892.71x = 71,774,602,651.90
  5. Step 5: Solve for x
    x = 71,774,602,651.90/284,892.71
  6. Step 6: Final answer
    x = 251,935.56

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1.5x scale

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.