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Finding the Fourth Proportional to 537,793.56, 742,143.42 and 296,066.88

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Solution

The fourth proportional to 537,793.56, 742,143.42 and 296,066.88 is: 408,565.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,793.56 : 742,143.42 = 296,066.88 : x
  2. Step 2: Convert to fraction form
    537,793.56/742,143.42 = 296,066.88/x
  3. Step 3: Cross multiply
    537,793.56x = 742,143.42 × 296,066.88
  4. Step 4: Simplify right side
    537,793.56x = 219,724,086,871.93
  5. Step 5: Solve for x
    x = 219,724,086,871.93/537,793.56
  6. Step 6: Final answer
    x = 408,565.86

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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.