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Finding the Fourth Proportional to 502,230.62, 693,083.04 and 275,876.12

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Solution

The fourth proportional to 502,230.62, 693,083.04 and 275,876.12 is: 380,711.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,230.62 : 693,083.04 = 275,876.12 : x
  2. Step 2: Convert to fraction form
    502,230.62/693,083.04 = 275,876.12/x
  3. Step 3: Cross multiply
    502,230.62x = 693,083.04 × 275,876.12
  4. Step 4: Simplify right side
    502,230.62x = 191,205,059,913.01
  5. Step 5: Solve for x
    x = 191,205,059,913.01/502,230.62
  6. Step 6: Final answer
    x = 380,711.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.