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Finding the Fourth Proportional to 415,435.31, 573,301.01 and 224,448.65

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Solution

The fourth proportional to 415,435.31, 573,301.01 and 224,448.65 is: 309,739.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,435.31 : 573,301.01 = 224,448.65 : x
  2. Step 2: Convert to fraction form
    415,435.31/573,301.01 = 224,448.65/x
  3. Step 3: Cross multiply
    415,435.31x = 573,301.01 × 224,448.65
  4. Step 4: Simplify right side
    415,435.31x = 128,676,635,432.75
  5. Step 5: Solve for x
    x = 128,676,635,432.75/415,435.31
  6. Step 6: Final answer
    x = 309,739.29

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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.