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Finding the Fourth Proportional to 412,980.32, 569,843.76 and 243,248.24

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Solution

The fourth proportional to 412,980.32, 569,843.76 and 243,248.24 is: 335,641.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,980.32 : 569,843.76 = 243,248.24 : x
  2. Step 2: Convert to fraction form
    412,980.32/569,843.76 = 243,248.24/x
  3. Step 3: Cross multiply
    412,980.32x = 569,843.76 × 243,248.24
  4. Step 4: Simplify right side
    412,980.32x = 138,613,491,694.98
  5. Step 5: Solve for x
    x = 138,613,491,694.98/412,980.32
  6. Step 6: Final answer
    x = 335,641.88

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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.