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Finding the Fourth Proportional to 341,412.50, 471,149.29 and 188,450.74

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Solution

The fourth proportional to 341,412.50, 471,149.29 and 188,450.74 is: 260,062.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,412.50 : 471,149.29 = 188,450.74 : x
  2. Step 2: Convert to fraction form
    341,412.50/471,149.29 = 188,450.74/x
  3. Step 3: Cross multiply
    341,412.50x = 471,149.29 × 188,450.74
  4. Step 4: Simplify right side
    341,412.50x = 88,788,432,350.97
  5. Step 5: Solve for x
    x = 88,788,432,350.97/341,412.50
  6. Step 6: Final answer
    x = 260,062.04

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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.