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Finding the Fourth Proportional to 415,832.88, 573,849.80 and 224,846.24

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Solution

The fourth proportional to 415,832.88, 573,849.80 and 224,846.24 is: 310,288.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,832.88 : 573,849.80 = 224,846.24 : x
  2. Step 2: Convert to fraction form
    415,832.88/573,849.80 = 224,846.24/x
  3. Step 3: Cross multiply
    415,832.88x = 573,849.80 × 224,846.24
  4. Step 4: Simplify right side
    415,832.88x = 129,027,969,854.75
  5. Step 5: Solve for x
    x = 129,027,969,854.75/415,832.88
  6. Step 6: Final answer
    x = 310,288.04

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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.