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Finding the Fourth Proportional to 442,106.48, 610,107.72 and 240,902.48

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Solution

The fourth proportional to 442,106.48, 610,107.72 and 240,902.48 is: 332,445.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,106.48 : 610,107.72 = 240,902.48 : x
  2. Step 2: Convert to fraction form
    442,106.48/610,107.72 = 240,902.48/x
  3. Step 3: Cross multiply
    442,106.48x = 610,107.72 × 240,902.48
  4. Step 4: Simplify right side
    442,106.48x = 146,976,462,815.15
  5. Step 5: Solve for x
    x = 146,976,462,815.15/442,106.48
  6. Step 6: Final answer
    x = 332,445.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.