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Finding the Fourth Proportional to 647,599.40, 970,362.30 and 410,517.80

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Solution

The fourth proportional to 647,599.40, 970,362.30 and 410,517.80 is: 615,119.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,599.40 : 970,362.30 = 410,517.80 : x
  2. Step 2: Convert to fraction form
    647,599.40/970,362.30 = 410,517.80/x
  3. Step 3: Cross multiply
    647,599.40x = 970,362.30 × 410,517.80
  4. Step 4: Simplify right side
    647,599.40x = 398,350,996,598.94
  5. Step 5: Solve for x
    x = 398,350,996,598.94/647,599.40
  6. Step 6: Final answer
    x = 615,119.47

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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.