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Finding the Fourth Proportional to 497,678.40, 746,517.60 and 298,612.80

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Solution

The fourth proportional to 497,678.40, 746,517.60 and 298,612.80 is: 447,919.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,678.40 : 746,517.60 = 298,612.80 : x
  2. Step 2: Convert to fraction form
    497,678.40/746,517.60 = 298,612.80/x
  3. Step 3: Cross multiply
    497,678.40x = 746,517.60 × 298,612.80
  4. Step 4: Simplify right side
    497,678.40x = 222,919,710,785.28
  5. Step 5: Solve for x
    x = 222,919,710,785.28/497,678.40
  6. Step 6: Final answer
    x = 447,919.20

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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.