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Finding the Fourth Proportional to 410,301.60, 615,452.40 and 376,087.20

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Solution

The fourth proportional to 410,301.60, 615,452.40 and 376,087.20 is: 564,130.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,301.60 : 615,452.40 = 376,087.20 : x
  2. Step 2: Convert to fraction form
    410,301.60/615,452.40 = 376,087.20/x
  3. Step 3: Cross multiply
    410,301.60x = 615,452.40 × 376,087.20
  4. Step 4: Simplify right side
    410,301.60x = 231,463,769,849.28
  5. Step 5: Solve for x
    x = 231,463,769,849.28/410,301.60
  6. Step 6: Final answer
    x = 564,130.80

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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.