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Finding the Fourth Proportional to 646,916.80, 970,375.20 and 366,980.80

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Solution

The fourth proportional to 646,916.80, 970,375.20 and 366,980.80 is: 550,471.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,916.80 : 970,375.20 = 366,980.80 : x
  2. Step 2: Convert to fraction form
    646,916.80/970,375.20 = 366,980.80/x
  3. Step 3: Cross multiply
    646,916.80x = 970,375.20 × 366,980.80
  4. Step 4: Simplify right side
    646,916.80x = 356,109,067,196.16
  5. Step 5: Solve for x
    x = 356,109,067,196.16/646,916.80
  6. Step 6: Final answer
    x = 550,471.20

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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.