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Finding the Fourth Proportional to 363,505.86, 545,217.06 and 97,287.16

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Solution

The fourth proportional to 363,505.86, 545,217.06 and 97,287.16 is: 145,919.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,505.86 : 545,217.06 = 97,287.16 : x
  2. Step 2: Convert to fraction form
    363,505.86/545,217.06 = 97,287.16/x
  3. Step 3: Cross multiply
    363,505.86x = 545,217.06 × 97,287.16
  4. Step 4: Simplify right side
    363,505.86x = 53,042,619,350.95
  5. Step 5: Solve for x
    x = 53,042,619,350.95/363,505.86
  6. Step 6: Final answer
    x = 145,919.57

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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.