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Finding the Fourth Proportional to 410,726.20, 615,167.70 and 336,998.20

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Solution

The fourth proportional to 410,726.20, 615,167.70 and 336,998.20 is: 504,741.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,726.20 : 615,167.70 = 336,998.20 : x
  2. Step 2: Convert to fraction form
    410,726.20/615,167.70 = 336,998.20/x
  3. Step 3: Cross multiply
    410,726.20x = 615,167.70 × 336,998.20
  4. Step 4: Simplify right side
    410,726.20x = 207,310,407,598.14
  5. Step 5: Solve for x
    x = 207,310,407,598.14/410,726.20
  6. Step 6: Final answer
    x = 504,741.13

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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.