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Finding the Fourth Proportional to 408,844.80, 564,192 and 229,962.24

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Solution

The fourth proportional to 408,844.80, 564,192 and 229,962.24 is: 317,340.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,844.80 : 564,192 = 229,962.24 : x
  2. Step 2: Convert to fraction form
    408,844.80/564,192 = 229,962.24/x
  3. Step 3: Cross multiply
    408,844.80x = 564,192 × 229,962.24
  4. Step 4: Simplify right side
    408,844.80x = 129,742,856,110.08
  5. Step 5: Solve for x
    x = 129,742,856,110.08/408,844.80
  6. Step 6: Final answer
    x = 317,340.12

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1.5x scale

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.