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Finding the Fourth Proportional to 305,324.87, 457,864.25 and 92,026.76

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Solution

The fourth proportional to 305,324.87, 457,864.25 and 92,026.76 is: 138,003.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,324.87 : 457,864.25 = 92,026.76 : x
  2. Step 2: Convert to fraction form
    305,324.87/457,864.25 = 92,026.76/x
  3. Step 3: Cross multiply
    305,324.87x = 457,864.25 × 92,026.76
  4. Step 4: Simplify right side
    305,324.87x = 42,135,761,985.62
  5. Step 5: Solve for x
    x = 42,135,761,985.62/305,324.87
  6. Step 6: Final answer
    x = 138,003.05

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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.