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Finding the Fourth Proportional to 416,570.47, 574,869 and 225,584.01

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Solution

The fourth proportional to 416,570.47, 574,869 and 225,584.01 is: 311,306.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,570.47 : 574,869 = 225,584.01 : x
  2. Step 2: Convert to fraction form
    416,570.47/574,869 = 225,584.01/x
  3. Step 3: Cross multiply
    416,570.47x = 574,869 × 225,584.01
  4. Step 4: Simplify right side
    416,570.47x = 129,681,254,244.69
  5. Step 5: Solve for x
    x = 129,681,254,244.69/416,570.47
  6. Step 6: Final answer
    x = 311,306.88

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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.