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Finding the Fourth Proportional to 410,116.80, 615,175.20 and 401,822.40

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Solution

The fourth proportional to 410,116.80, 615,175.20 and 401,822.40 is: 602,733.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,116.80 : 615,175.20 = 401,822.40 : x
  2. Step 2: Convert to fraction form
    410,116.80/615,175.20 = 401,822.40/x
  3. Step 3: Cross multiply
    410,116.80x = 615,175.20 × 401,822.40
  4. Step 4: Simplify right side
    410,116.80x = 247,191,175,284.48
  5. Step 5: Solve for x
    x = 247,191,175,284.48/410,116.80
  6. Step 6: Final answer
    x = 602,733.60

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Why These Related Problems?

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