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Finding the Fourth Proportional to 313,058.28, 469,606.08 and 120,934.20

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Solution

The fourth proportional to 313,058.28, 469,606.08 and 120,934.20 is: 181,408.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,058.28 : 469,606.08 = 120,934.20 : x
  2. Step 2: Convert to fraction form
    313,058.28/469,606.08 = 120,934.20/x
  3. Step 3: Cross multiply
    313,058.28x = 469,606.08 × 120,934.20
  4. Step 4: Simplify right side
    313,058.28x = 56,791,435,599.94
  5. Step 5: Solve for x
    x = 56,791,435,599.94/313,058.28
  6. Step 6: Final answer
    x = 181,408.51

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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.