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Finding the Fourth Proportional to 416,513.88, 574,789.57 and 225,526.82

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Solution

The fourth proportional to 416,513.88, 574,789.57 and 225,526.82 is: 311,227.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,513.88 : 574,789.57 = 225,526.82 : x
  2. Step 2: Convert to fraction form
    416,513.88/574,789.57 = 225,526.82/x
  3. Step 3: Cross multiply
    416,513.88x = 574,789.57 × 225,526.82
  4. Step 4: Simplify right side
    416,513.88x = 129,630,460,453.50
  5. Step 5: Solve for x
    x = 129,630,460,453.50/416,513.88
  6. Step 6: Final answer
    x = 311,227.23

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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.