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Finding the Fourth Proportional to 502,728.36, 754,203.78 and 165,873.24

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Solution

The fourth proportional to 502,728.36, 754,203.78 and 165,873.24 is: 248,846.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,728.36 : 754,203.78 = 165,873.24 : x
  2. Step 2: Convert to fraction form
    502,728.36/754,203.78 = 165,873.24/x
  3. Step 3: Cross multiply
    502,728.36x = 754,203.78 × 165,873.24
  4. Step 4: Simplify right side
    502,728.36x = 125,102,224,608.85
  5. Step 5: Solve for x
    x = 125,102,224,608.85/502,728.36
  6. Step 6: Final answer
    x = 248,846.56

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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.