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Finding the Fourth Proportional to 412,060.80, 617,630.40 and 175,363.20

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Solution

The fourth proportional to 412,060.80, 617,630.40 and 175,363.20 is: 262,848.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,060.80 : 617,630.40 = 175,363.20 : x
  2. Step 2: Convert to fraction form
    412,060.80/617,630.40 = 175,363.20/x
  3. Step 3: Cross multiply
    412,060.80x = 617,630.40 × 175,363.20
  4. Step 4: Simplify right side
    412,060.80x = 108,309,643,361.28
  5. Step 5: Solve for x
    x = 108,309,643,361.28/412,060.80
  6. Step 6: Final answer
    x = 262,848.69

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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.