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Finding the Fourth Proportional to 363,478.96, 545,176.68 and 97,260.40

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Solution

The fourth proportional to 363,478.96, 545,176.68 and 97,260.40 is: 145,879.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,478.96 : 545,176.68 = 97,260.40 : x
  2. Step 2: Convert to fraction form
    363,478.96/545,176.68 = 97,260.40/x
  3. Step 3: Cross multiply
    363,478.96x = 545,176.68 × 97,260.40
  4. Step 4: Simplify right side
    363,478.96x = 53,024,101,967.47
  5. Step 5: Solve for x
    x = 53,024,101,967.47/363,478.96
  6. Step 6: Final answer
    x = 145,879.43

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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.