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Finding the Fourth Proportional to 502,736.76, 754,133.09 and 165,763.80

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Solution

The fourth proportional to 502,736.76, 754,133.09 and 165,763.80 is: 248,654.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,736.76 : 754,133.09 = 165,763.80 : x
  2. Step 2: Convert to fraction form
    502,736.76/754,133.09 = 165,763.80/x
  3. Step 3: Cross multiply
    502,736.76x = 754,133.09 × 165,763.80
  4. Step 4: Simplify right side
    502,736.76x = 125,007,965,875.32
  5. Step 5: Solve for x
    x = 125,007,965,875.32/502,736.76
  6. Step 6: Final answer
    x = 248,654.91

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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.