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Finding the Fourth Proportional to 416,584.80, 574,887.06 and 225,598.68

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Solution

The fourth proportional to 416,584.80, 574,887.06 and 225,598.68 is: 311,326.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,584.80 : 574,887.06 = 225,598.68 : x
  2. Step 2: Convert to fraction form
    416,584.80/574,887.06 = 225,598.68/x
  3. Step 3: Cross multiply
    416,584.80x = 574,887.06 × 225,598.68
  4. Step 4: Simplify right side
    416,584.80x = 129,693,761,885.08
  5. Step 5: Solve for x
    x = 129,693,761,885.08/416,584.80
  6. Step 6: Final answer
    x = 311,326.20

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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.