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Finding the Fourth Proportional to 410,844.60, 616,266.90 and 115,356.60

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Solution

The fourth proportional to 410,844.60, 616,266.90 and 115,356.60 is: 173,034.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,844.60 : 616,266.90 = 115,356.60 : x
  2. Step 2: Convert to fraction form
    410,844.60/616,266.90 = 115,356.60/x
  3. Step 3: Cross multiply
    410,844.60x = 616,266.90 × 115,356.60
  4. Step 4: Simplify right side
    410,844.60x = 71,090,454,276.54
  5. Step 5: Solve for x
    x = 71,090,454,276.54/410,844.60
  6. Step 6: Final answer
    x = 173,034.90

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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.