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Finding the Fourth Proportional to 466,122.71, 643,882.53 and 365,419.56

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Solution

The fourth proportional to 466,122.71, 643,882.53 and 365,419.56 is: 504,775.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,122.71 : 643,882.53 = 365,419.56 : x
  2. Step 2: Convert to fraction form
    466,122.71/643,882.53 = 365,419.56/x
  3. Step 3: Cross multiply
    466,122.71x = 643,882.53 × 365,419.56
  4. Step 4: Simplify right side
    466,122.71x = 235,287,265,757.78
  5. Step 5: Solve for x
    x = 235,287,265,757.78/466,122.71
  6. Step 6: Final answer
    x = 504,775.38

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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.