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Finding the Fourth Proportional to 416,711.10, 575,060.72 and 225,725.24

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Solution

The fourth proportional to 416,711.10, 575,060.72 and 225,725.24 is: 311,500.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,711.10 : 575,060.72 = 225,725.24 : x
  2. Step 2: Convert to fraction form
    416,711.10/575,060.72 = 225,725.24/x
  3. Step 3: Cross multiply
    416,711.10x = 575,060.72 × 225,725.24
  4. Step 4: Simplify right side
    416,711.10x = 129,805,719,036.57
  5. Step 5: Solve for x
    x = 129,805,719,036.57/416,711.10
  6. Step 6: Final answer
    x = 311,500.51

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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.