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Finding the Fourth Proportional to 284,540.38, 392,664.92 and 157,215.06

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Solution

The fourth proportional to 284,540.38, 392,664.92 and 157,215.06 is: 216,956.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,540.38 : 392,664.92 = 157,215.06 : x
  2. Step 2: Convert to fraction form
    284,540.38/392,664.92 = 157,215.06/x
  3. Step 3: Cross multiply
    284,540.38x = 392,664.92 × 157,215.06
  4. Step 4: Simplify right side
    284,540.38x = 61,732,840,332.40
  5. Step 5: Solve for x
    x = 61,732,840,332.40/284,540.38
  6. Step 6: Final answer
    x = 216,956.34

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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.