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Finding the Fourth Proportional to 410,411.20, 615,616.80 and 401,663.20

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Solution

The fourth proportional to 410,411.20, 615,616.80 and 401,663.20 is: 602,494.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,411.20 : 615,616.80 = 401,663.20 : x
  2. Step 2: Convert to fraction form
    410,411.20/615,616.80 = 401,663.20/x
  3. Step 3: Cross multiply
    410,411.20x = 615,616.80 × 401,663.20
  4. Step 4: Simplify right side
    410,411.20x = 247,270,613,861.76
  5. Step 5: Solve for x
    x = 247,270,613,861.76/410,411.20
  6. Step 6: Final answer
    x = 602,494.80

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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.