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Finding the Fourth Proportional to 502,420.36, 753,469.54 and 165,382.60

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Solution

The fourth proportional to 502,420.36, 753,469.54 and 165,382.60 is: 248,020.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,420.36 : 753,469.54 = 165,382.60 : x
  2. Step 2: Convert to fraction form
    502,420.36/753,469.54 = 165,382.60/x
  3. Step 3: Cross multiply
    502,420.36x = 753,469.54 × 165,382.60
  4. Step 4: Simplify right side
    502,420.36x = 124,610,751,546.00
  5. Step 5: Solve for x
    x = 124,610,751,546.00/502,420.36
  6. Step 6: Final answer
    x = 248,020.90

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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.