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Finding the Fourth Proportional to 502,300, 693,174.27 and 275,960.08

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Solution

The fourth proportional to 502,300, 693,174.27 and 275,960.08 is: 380,825.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,300 : 693,174.27 = 275,960.08 : x
  2. Step 2: Convert to fraction form
    502,300/693,174.27 = 275,960.08/x
  3. Step 3: Cross multiply
    502,300x = 693,174.27 × 275,960.08
  4. Step 4: Simplify right side
    502,300x = 191,288,427,003.14
  5. Step 5: Solve for x
    x = 191,288,427,003.14/502,300
  6. Step 6: Final answer
    x = 380,825.06

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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.