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Finding the Fourth Proportional to 410,061.40, 615,092.10 and 378,568.60

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Solution

The fourth proportional to 410,061.40, 615,092.10 and 378,568.60 is: 567,852.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,061.40 : 615,092.10 = 378,568.60 : x
  2. Step 2: Convert to fraction form
    410,061.40/615,092.10 = 378,568.60/x
  3. Step 3: Cross multiply
    410,061.40x = 615,092.10 × 378,568.60
  4. Step 4: Simplify right side
    410,061.40x = 232,854,555,168.06
  5. Step 5: Solve for x
    x = 232,854,555,168.06/410,061.40
  6. Step 6: Final answer
    x = 567,852.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.