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Finding the Fourth Proportional to 412,714.52, 619,246.70 and 225,507.32

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Solution

The fourth proportional to 412,714.52, 619,246.70 and 225,507.32 is: 338,356.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,714.52 : 619,246.70 = 225,507.32 : x
  2. Step 2: Convert to fraction form
    412,714.52/619,246.70 = 225,507.32/x
  3. Step 3: Cross multiply
    412,714.52x = 619,246.70 × 225,507.32
  4. Step 4: Simplify right side
    412,714.52x = 139,644,663,735.84
  5. Step 5: Solve for x
    x = 139,644,663,735.84/412,714.52
  6. Step 6: Final answer
    x = 338,356.56

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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.