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Finding the Fourth Proportional to 361,605.20, 542,407.80 and 174,635.60

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Solution

The fourth proportional to 361,605.20, 542,407.80 and 174,635.60 is: 261,953.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,605.20 : 542,407.80 = 174,635.60 : x
  2. Step 2: Convert to fraction form
    361,605.20/542,407.80 = 174,635.60/x
  3. Step 3: Cross multiply
    361,605.20x = 542,407.80 × 174,635.60
  4. Step 4: Simplify right side
    361,605.20x = 94,723,711,597.68
  5. Step 5: Solve for x
    x = 94,723,711,597.68/361,605.20
  6. Step 6: Final answer
    x = 261,953.40

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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.