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Finding the Fourth Proportional to 474,046.24, 710,737.38 and 174,487.96

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Solution

The fourth proportional to 474,046.24, 710,737.38 and 174,487.96 is: 261,609.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,046.24 : 710,737.38 = 174,487.96 : x
  2. Step 2: Convert to fraction form
    474,046.24/710,737.38 = 174,487.96/x
  3. Step 3: Cross multiply
    474,046.24x = 710,737.38 × 174,487.96
  4. Step 4: Simplify right side
    474,046.24x = 124,015,115,531.95
  5. Step 5: Solve for x
    x = 124,015,115,531.95/474,046.24
  6. Step 6: Final answer
    x = 261,609.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.