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Finding the Fourth Proportional to 501,959.40, 752,884 and 146,976.88

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Solution

The fourth proportional to 501,959.40, 752,884 and 146,976.88 is: 220,449.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,959.40 : 752,884 = 146,976.88 : x
  2. Step 2: Convert to fraction form
    501,959.40/752,884 = 146,976.88/x
  3. Step 3: Cross multiply
    501,959.40x = 752,884 × 146,976.88
  4. Step 4: Simplify right side
    501,959.40x = 110,656,541,321.92
  5. Step 5: Solve for x
    x = 110,656,541,321.92/501,959.40
  6. Step 6: Final answer
    x = 220,449.19

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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.