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Finding the Fourth Proportional to 587,356.20, 881,034.30 and 410,209.20

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Solution

The fourth proportional to 587,356.20, 881,034.30 and 410,209.20 is: 615,313.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,356.20 : 881,034.30 = 410,209.20 : x
  2. Step 2: Convert to fraction form
    587,356.20/881,034.30 = 410,209.20/x
  3. Step 3: Cross multiply
    587,356.20x = 881,034.30 × 410,209.20
  4. Step 4: Simplify right side
    587,356.20x = 361,408,375,375.56
  5. Step 5: Solve for x
    x = 361,408,375,375.56/587,356.20
  6. Step 6: Final answer
    x = 615,313.80

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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.