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Finding the Fourth Proportional to 343,517.60, 474,057.14 and 190,565.80

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Solution

The fourth proportional to 343,517.60, 474,057.14 and 190,565.80 is: 262,982.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,517.60 : 474,057.14 = 190,565.80 : x
  2. Step 2: Convert to fraction form
    343,517.60/474,057.14 = 190,565.80/x
  3. Step 3: Cross multiply
    343,517.60x = 474,057.14 × 190,565.80
  4. Step 4: Simplify right side
    343,517.60x = 90,339,078,129.81
  5. Step 5: Solve for x
    x = 90,339,078,129.81/343,517.60
  6. Step 6: Final answer
    x = 262,982.39

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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.