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Finding the Fourth Proportional to 345,820.88, 477,626.47 and 232,446.80

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Solution

The fourth proportional to 345,820.88, 477,626.47 and 232,446.80 is: 321,041.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,820.88 : 477,626.47 = 232,446.80 : x
  2. Step 2: Convert to fraction form
    345,820.88/477,626.47 = 232,446.80/x
  3. Step 3: Cross multiply
    345,820.88x = 477,626.47 × 232,446.80
  4. Step 4: Simplify right side
    345,820.88x = 111,022,744,546.80
  5. Step 5: Solve for x
    x = 111,022,744,546.80/345,820.88
  6. Step 6: Final answer
    x = 321,041.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.