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Finding the Fourth Proportional to 416,628.88, 574,948.20 and 225,642.64

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Solution

The fourth proportional to 416,628.88, 574,948.20 and 225,642.64 is: 311,387.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,628.88 : 574,948.20 = 225,642.64 : x
  2. Step 2: Convert to fraction form
    416,628.88/574,948.20 = 225,642.64/x
  3. Step 3: Cross multiply
    416,628.88x = 574,948.20 × 225,642.64
  4. Step 4: Simplify right side
    416,628.88x = 129,732,829,711.25
  5. Step 5: Solve for x
    x = 129,732,829,711.25/416,628.88
  6. Step 6: Final answer
    x = 311,387.03

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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.