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Finding the Fourth Proportional to 363,446.24, 545,256.80 and 153,144.32

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Solution

The fourth proportional to 363,446.24, 545,256.80 and 153,144.32 is: 229,753.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,446.24 : 545,256.80 = 153,144.32 : x
  2. Step 2: Convert to fraction form
    363,446.24/545,256.80 = 153,144.32/x
  3. Step 3: Cross multiply
    363,446.24x = 545,256.80 × 153,144.32
  4. Step 4: Simplify right side
    363,446.24x = 83,502,981,861.38
  5. Step 5: Solve for x
    x = 83,502,981,861.38/363,446.24
  6. Step 6: Final answer
    x = 229,753.32

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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.