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Finding the Fourth Proportional to 416,310.33, 574,507.28 and 225,323.88

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Solution

The fourth proportional to 416,310.33, 574,507.28 and 225,323.88 is: 310,946.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,310.33 : 574,507.28 = 225,323.88 : x
  2. Step 2: Convert to fraction form
    416,310.33/574,507.28 = 225,323.88/x
  3. Step 3: Cross multiply
    416,310.33x = 574,507.28 × 225,323.88
  4. Step 4: Simplify right side
    416,310.33x = 129,450,207,826.75
  5. Step 5: Solve for x
    x = 129,450,207,826.75/416,310.33
  6. Step 6: Final answer
    x = 310,946.42

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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.