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Finding the Fourth Proportional to 341,735.34, 471,585.13 and 188,770.66

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Solution

The fourth proportional to 341,735.34, 471,585.13 and 188,770.66 is: 260,498.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,735.34 : 471,585.13 = 188,770.66 : x
  2. Step 2: Convert to fraction form
    341,735.34/471,585.13 = 188,770.66/x
  3. Step 3: Cross multiply
    341,735.34x = 471,585.13 × 188,770.66
  4. Step 4: Simplify right side
    341,735.34x = 89,021,436,236.29
  5. Step 5: Solve for x
    x = 89,021,436,236.29/341,735.34
  6. Step 6: Final answer
    x = 260,498.19

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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.