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Finding the Fourth Proportional to 296,058.32, 444,092.96 and 96,378

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Solution

The fourth proportional to 296,058.32, 444,092.96 and 96,378 is: 144,568.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,058.32 : 444,092.96 = 96,378 : x
  2. Step 2: Convert to fraction form
    296,058.32/444,092.96 = 96,378/x
  3. Step 3: Cross multiply
    296,058.32x = 444,092.96 × 96,378
  4. Step 4: Simplify right side
    296,058.32x = 42,800,791,298.88
  5. Step 5: Solve for x
    x = 42,800,791,298.88/296,058.32
  6. Step 6: Final answer
    x = 144,568.78

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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.