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Finding the Fourth Proportional to 416,627.88, 574,946.82 and 225,641.64

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Solution

The fourth proportional to 416,627.88, 574,946.82 and 225,641.64 is: 311,385.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,627.88 : 574,946.82 = 225,641.64 : x
  2. Step 2: Convert to fraction form
    416,627.88/574,946.82 = 225,641.64/x
  3. Step 3: Cross multiply
    416,627.88x = 574,946.82 × 225,641.64
  4. Step 4: Simplify right side
    416,627.88x = 129,731,943,377.59
  5. Step 5: Solve for x
    x = 129,731,943,377.59/416,627.88
  6. Step 6: Final answer
    x = 311,385.65

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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.