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Finding the Fourth Proportional to 416,876.26, 625,314.63 and 292,771.30

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Solution

The fourth proportional to 416,876.26, 625,314.63 and 292,771.30 is: 439,157.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,876.26 : 625,314.63 = 292,771.30 : x
  2. Step 2: Convert to fraction form
    416,876.26/625,314.63 = 292,771.30/x
  3. Step 3: Cross multiply
    416,876.26x = 625,314.63 × 292,771.30
  4. Step 4: Simplify right side
    416,876.26x = 183,074,177,134.12
  5. Step 5: Solve for x
    x = 183,074,177,134.12/416,876.26
  6. Step 6: Final answer
    x = 439,157.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.