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Finding the Fourth Proportional to 502,876.35, 754,338.15 and 165,946.46

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Solution

The fourth proportional to 502,876.35, 754,338.15 and 165,946.46 is: 248,927.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,876.35 : 754,338.15 = 165,946.46 : x
  2. Step 2: Convert to fraction form
    502,876.35/754,338.15 = 165,946.46/x
  3. Step 3: Cross multiply
    502,876.35x = 754,338.15 × 165,946.46
  4. Step 4: Simplify right side
    502,876.35x = 125,179,741,863.76
  5. Step 5: Solve for x
    x = 125,179,741,863.76/502,876.35
  6. Step 6: Final answer
    x = 248,927.48

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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.