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Finding the Fourth Proportional to 410,080.80, 615,121.20 and 298,543.80

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Solution

The fourth proportional to 410,080.80, 615,121.20 and 298,543.80 is: 447,815.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,080.80 : 615,121.20 = 298,543.80 : x
  2. Step 2: Convert to fraction form
    410,080.80/615,121.20 = 298,543.80/x
  3. Step 3: Cross multiply
    410,080.80x = 615,121.20 × 298,543.80
  4. Step 4: Simplify right side
    410,080.80x = 183,640,620,508.56
  5. Step 5: Solve for x
    x = 183,640,620,508.56/410,080.80
  6. Step 6: Final answer
    x = 447,815.70

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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.