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Finding the Fourth Proportional to 442,612.24, 663,578.04 and 229,151.32

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Solution

The fourth proportional to 442,612.24, 663,578.04 and 229,151.32 is: 343,550.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,612.24 : 663,578.04 = 229,151.32 : x
  2. Step 2: Convert to fraction form
    442,612.24/663,578.04 = 229,151.32/x
  3. Step 3: Cross multiply
    442,612.24x = 663,578.04 × 229,151.32
  4. Step 4: Simplify right side
    442,612.24x = 152,059,783,789.01
  5. Step 5: Solve for x
    x = 152,059,783,789.01/442,612.24
  6. Step 6: Final answer
    x = 343,550.79

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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.