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Finding the Fourth Proportional to 435,604.64, 653,439.77 and 120,058.82

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Solution

The fourth proportional to 435,604.64, 653,439.77 and 120,058.82 is: 180,097.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,604.64 : 653,439.77 = 120,058.82 : x
  2. Step 2: Convert to fraction form
    435,604.64/653,439.77 = 120,058.82/x
  3. Step 3: Cross multiply
    435,604.64x = 653,439.77 × 120,058.82
  4. Step 4: Simplify right side
    435,604.64x = 78,451,203,859.78
  5. Step 5: Solve for x
    x = 78,451,203,859.78/435,604.64
  6. Step 6: Final answer
    x = 180,097.26

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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.