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Finding the Fourth Proportional to 410,132.80, 615,199.20 and 401,838.40

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Solution

The fourth proportional to 410,132.80, 615,199.20 and 401,838.40 is: 602,757.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,132.80 : 615,199.20 = 401,838.40 : x
  2. Step 2: Convert to fraction form
    410,132.80/615,199.20 = 401,838.40/x
  3. Step 3: Cross multiply
    410,132.80x = 615,199.20 × 401,838.40
  4. Step 4: Simplify right side
    410,132.80x = 247,210,662,209.28
  5. Step 5: Solve for x
    x = 247,210,662,209.28/410,132.80
  6. Step 6: Final answer
    x = 602,757.60

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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.