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Finding the Fourth Proportional to 502,301, 693,175.66 and 275,961.08

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Solution

The fourth proportional to 502,301, 693,175.66 and 275,961.08 is: 380,826.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,301 : 693,175.66 = 275,961.08 : x
  2. Step 2: Convert to fraction form
    502,301/693,175.66 = 275,961.08/x
  3. Step 3: Cross multiply
    502,301x = 693,175.66 × 275,961.08
  4. Step 4: Simplify right side
    502,301x = 191,289,503,763.31
  5. Step 5: Solve for x
    x = 191,289,503,763.31/502,301
  6. Step 6: Final answer
    x = 380,826.44

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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.