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Finding the Fourth Proportional to 502,825.36, 754,261.30 and 165,895.44

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Solution

The fourth proportional to 502,825.36, 754,261.30 and 165,895.44 is: 248,850.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,825.36 : 754,261.30 = 165,895.44 : x
  2. Step 2: Convert to fraction form
    502,825.36/754,261.30 = 165,895.44/x
  3. Step 3: Cross multiply
    502,825.36x = 754,261.30 × 165,895.44
  4. Step 4: Simplify right side
    502,825.36x = 125,128,510,238.47
  5. Step 5: Solve for x
    x = 125,128,510,238.47/502,825.36
  6. Step 6: Final answer
    x = 248,850.83

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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.