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Finding the Fourth Proportional to 458,615.44, 688,193.80 and 174,545.15

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Solution

The fourth proportional to 458,615.44, 688,193.80 and 174,545.15 is: 261,920.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,615.44 : 688,193.80 = 174,545.15 : x
  2. Step 2: Convert to fraction form
    458,615.44/688,193.80 = 174,545.15/x
  3. Step 3: Cross multiply
    458,615.44x = 688,193.80 × 174,545.15
  4. Step 4: Simplify right side
    458,615.44x = 120,120,892,040.74
  5. Step 5: Solve for x
    x = 120,120,892,040.74/458,615.44
  6. Step 6: Final answer
    x = 261,920.73

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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.