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Finding the Fourth Proportional to 410,122.80, 615,184.20 and 401,828.40

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Solution

The fourth proportional to 410,122.80, 615,184.20 and 401,828.40 is: 602,742.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,122.80 : 615,184.20 = 401,828.40 : x
  2. Step 2: Convert to fraction form
    410,122.80/615,184.20 = 401,828.40/x
  3. Step 3: Cross multiply
    410,122.80x = 615,184.20 × 401,828.40
  4. Step 4: Simplify right side
    410,122.80x = 247,198,482,791.28
  5. Step 5: Solve for x
    x = 247,198,482,791.28/410,122.80
  6. Step 6: Final answer
    x = 602,742.60

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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.