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Finding the Fourth Proportional to 285,340.38, 393,737.94 and 157,984.08

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Solution

The fourth proportional to 285,340.38, 393,737.94 and 157,984.08 is: 218,000.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,340.38 : 393,737.94 = 157,984.08 : x
  2. Step 2: Convert to fraction form
    285,340.38/393,737.94 = 157,984.08/x
  3. Step 3: Cross multiply
    285,340.38x = 393,737.94 × 157,984.08
  4. Step 4: Simplify right side
    285,340.38x = 62,204,326,212.00
  5. Step 5: Solve for x
    x = 62,204,326,212.00/285,340.38
  6. Step 6: Final answer
    x = 218,000.43

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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.