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Finding the Fourth Proportional to 477,082.64, 658,375 and 259,292.54

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Solution

The fourth proportional to 477,082.64, 658,375 and 259,292.54 is: 357,824.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,082.64 : 658,375 = 259,292.54 : x
  2. Step 2: Convert to fraction form
    477,082.64/658,375 = 259,292.54/x
  3. Step 3: Cross multiply
    477,082.64x = 658,375 × 259,292.54
  4. Step 4: Simplify right side
    477,082.64x = 170,711,726,022.50
  5. Step 5: Solve for x
    x = 170,711,726,022.50/477,082.64
  6. Step 6: Final answer
    x = 357,824.23

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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.