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Finding the Fourth Proportional to 410,316.20, 615,412.74 and 129,797

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Solution

The fourth proportional to 410,316.20, 615,412.74 and 129,797 is: 194,676.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,316.20 : 615,412.74 = 129,797 : x
  2. Step 2: Convert to fraction form
    410,316.20/615,412.74 = 129,797/x
  3. Step 3: Cross multiply
    410,316.20x = 615,412.74 × 129,797
  4. Step 4: Simplify right side
    410,316.20x = 79,878,727,413.78
  5. Step 5: Solve for x
    x = 79,878,727,413.78/410,316.20
  6. Step 6: Final answer
    x = 194,676.03

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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.