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Finding the Fourth Proportional to 488,766.60, 733,247.10 and 410,423.40

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Solution

The fourth proportional to 488,766.60, 733,247.10 and 410,423.40 is: 615,716.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,766.60 : 733,247.10 = 410,423.40 : x
  2. Step 2: Convert to fraction form
    488,766.60/733,247.10 = 410,423.40/x
  3. Step 3: Cross multiply
    488,766.60x = 733,247.10 × 410,423.40
  4. Step 4: Simplify right side
    488,766.60x = 300,941,767,822.14
  5. Step 5: Solve for x
    x = 300,941,767,822.14/488,766.60
  6. Step 6: Final answer
    x = 615,716.72

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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.