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Finding the Fourth Proportional to 343,517.33, 474,056.51 and 188,467.57

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Solution

The fourth proportional to 343,517.33, 474,056.51 and 188,467.57 is: 260,086.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,517.33 : 474,056.51 = 188,467.57 : x
  2. Step 2: Convert to fraction form
    343,517.33/474,056.51 = 188,467.57/x
  3. Step 3: Cross multiply
    343,517.33x = 474,056.51 × 188,467.57
  4. Step 4: Simplify right side
    343,517.33x = 89,344,280,124.42
  5. Step 5: Solve for x
    x = 89,344,280,124.42/343,517.33
  6. Step 6: Final answer
    x = 260,086.68

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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.