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Finding the Fourth Proportional to 363,566, 545,189.16 and 195,036.32

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Solution

The fourth proportional to 363,566, 545,189.16 and 195,036.32 is: 292,468.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,566 : 545,189.16 = 195,036.32 : x
  2. Step 2: Convert to fraction form
    363,566/545,189.16 = 195,036.32/x
  3. Step 3: Cross multiply
    363,566x = 545,189.16 × 195,036.32
  4. Step 4: Simplify right side
    363,566x = 106,331,687,470.29
  5. Step 5: Solve for x
    x = 106,331,687,470.29/363,566
  6. Step 6: Final answer
    x = 292,468.73

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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.