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Finding the Fourth Proportional to 501,843.90, 752,182.65 and 202,176.30

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Solution

The fourth proportional to 501,843.90, 752,182.65 and 202,176.30 is: 303,029.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,843.90 : 752,182.65 = 202,176.30 : x
  2. Step 2: Convert to fraction form
    501,843.90/752,182.65 = 202,176.30/x
  3. Step 3: Cross multiply
    501,843.90x = 752,182.65 × 202,176.30
  4. Step 4: Simplify right side
    501,843.90x = 152,073,505,101.20
  5. Step 5: Solve for x
    x = 152,073,505,101.20/501,843.90
  6. Step 6: Final answer
    x = 303,029.50

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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.