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Finding the Fourth Proportional to 729,438.68, 1,006,793.34 and 427,729.88

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Solution

The fourth proportional to 729,438.68, 1,006,793.34 and 427,729.88 is: 590,365.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,438.68 : 1,006,793.34 = 427,729.88 : x
  2. Step 2: Convert to fraction form
    729,438.68/1,006,793.34 = 427,729.88/x
  3. Step 3: Cross multiply
    729,438.68x = 1,006,793.34 × 427,729.88
  4. Step 4: Simplify right side
    729,438.68x = 430,635,594,503.00
  5. Step 5: Solve for x
    x = 430,635,594,503.00/729,438.68
  6. Step 6: Final answer
    x = 590,365.72

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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.