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Finding the Fourth Proportional to 615,734.40, 922,046.40 and 404,227.20

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Solution

The fourth proportional to 615,734.40, 922,046.40 and 404,227.20 is: 605,319.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,734.40 : 922,046.40 = 404,227.20 : x
  2. Step 2: Convert to fraction form
    615,734.40/922,046.40 = 404,227.20/x
  3. Step 3: Cross multiply
    615,734.40x = 922,046.40 × 404,227.20
  4. Step 4: Simplify right side
    615,734.40x = 372,716,234,542.08
  5. Step 5: Solve for x
    x = 372,716,234,542.08/615,734.40
  6. Step 6: Final answer
    x = 605,319.82

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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.