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Finding the Fourth Proportional to 646,974.20, 970,331.70 and 310,014.20

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Solution

The fourth proportional to 646,974.20, 970,331.70 and 310,014.20 is: 464,959.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,974.20 : 970,331.70 = 310,014.20 : x
  2. Step 2: Convert to fraction form
    646,974.20/970,331.70 = 310,014.20/x
  3. Step 3: Cross multiply
    646,974.20x = 970,331.70 × 310,014.20
  4. Step 4: Simplify right side
    646,974.20x = 300,816,605,710.14
  5. Step 5: Solve for x
    x = 300,816,605,710.14/646,974.20
  6. Step 6: Final answer
    x = 464,959.20

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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.