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Finding the Fourth Proportional to 410,061.60, 615,092.40 and 327,117.60

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Solution

The fourth proportional to 410,061.60, 615,092.40 and 327,117.60 is: 490,676.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,061.60 : 615,092.40 = 327,117.60 : x
  2. Step 2: Convert to fraction form
    410,061.60/615,092.40 = 327,117.60/x
  3. Step 3: Cross multiply
    410,061.60x = 615,092.40 × 327,117.60
  4. Step 4: Simplify right side
    410,061.60x = 201,207,549,666.24
  5. Step 5: Solve for x
    x = 201,207,549,666.24/410,061.60
  6. Step 6: Final answer
    x = 490,676.40

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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.