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Finding the Fourth Proportional to 412,715.52, 619,248.20 and 225,508.32

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Solution

The fourth proportional to 412,715.52, 619,248.20 and 225,508.32 is: 338,358.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,715.52 : 619,248.20 = 225,508.32 : x
  2. Step 2: Convert to fraction form
    412,715.52/619,248.20 = 225,508.32/x
  3. Step 3: Cross multiply
    412,715.52x = 619,248.20 × 225,508.32
  4. Step 4: Simplify right side
    412,715.52x = 139,645,621,245.02
  5. Step 5: Solve for x
    x = 139,645,621,245.02/412,715.52
  6. Step 6: Final answer
    x = 338,358.06

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1.5x scale

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.