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Finding the Fourth Proportional to 588,460.80, 880,617.60 and 410,131.20

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Solution

The fourth proportional to 588,460.80, 880,617.60 and 410,131.20 is: 613,751.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,460.80 : 880,617.60 = 410,131.20 : x
  2. Step 2: Convert to fraction form
    588,460.80/880,617.60 = 410,131.20/x
  3. Step 3: Cross multiply
    588,460.80x = 880,617.60 × 410,131.20
  4. Step 4: Simplify right side
    588,460.80x = 361,168,753,029.12
  5. Step 5: Solve for x
    x = 361,168,753,029.12/588,460.80
  6. Step 6: Final answer
    x = 613,751.59

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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.