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Finding the Fourth Proportional to 361,657.60, 542,572.80 and 174,515.20

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Solution

The fourth proportional to 361,657.60, 542,572.80 and 174,515.20 is: 261,814.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,657.60 : 542,572.80 = 174,515.20 : x
  2. Step 2: Convert to fraction form
    361,657.60/542,572.80 = 174,515.20/x
  3. Step 3: Cross multiply
    361,657.60x = 542,572.80 × 174,515.20
  4. Step 4: Simplify right side
    361,657.60x = 94,687,200,706.56
  5. Step 5: Solve for x
    x = 94,687,200,706.56/361,657.60
  6. Step 6: Final answer
    x = 261,814.49

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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.