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Finding the Fourth Proportional to 363,899.29, 545,773.76 and 97,596.50

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Solution

The fourth proportional to 363,899.29, 545,773.76 and 97,596.50 is: 146,374.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,899.29 : 545,773.76 = 97,596.50 : x
  2. Step 2: Convert to fraction form
    363,899.29/545,773.76 = 97,596.50/x
  3. Step 3: Cross multiply
    363,899.29x = 545,773.76 × 97,596.50
  4. Step 4: Simplify right side
    363,899.29x = 53,265,608,279.86
  5. Step 5: Solve for x
    x = 53,265,608,279.86/363,899.29
  6. Step 6: Final answer
    x = 146,374.59

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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.