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Finding the Fourth Proportional to 665,447.60, 996,859.20 and 398,414.90

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Solution

The fourth proportional to 665,447.60, 996,859.20 and 398,414.90 is: 596,836.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,447.60 : 996,859.20 = 398,414.90 : x
  2. Step 2: Convert to fraction form
    665,447.60/996,859.20 = 398,414.90/x
  3. Step 3: Cross multiply
    665,447.60x = 996,859.20 × 398,414.90
  4. Step 4: Simplify right side
    665,447.60x = 397,163,558,482.08
  5. Step 5: Solve for x
    x = 397,163,558,482.08/665,447.60
  6. Step 6: Final answer
    x = 596,836.71

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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.