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Finding the Fourth Proportional to 546,719.74, 820,086.96 and 191,744.12

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Solution

The fourth proportional to 546,719.74, 820,086.96 and 191,744.12 is: 287,618.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,719.74 : 820,086.96 = 191,744.12 : x
  2. Step 2: Convert to fraction form
    546,719.74/820,086.96 = 191,744.12/x
  3. Step 3: Cross multiply
    546,719.74x = 820,086.96 × 191,744.12
  4. Step 4: Simplify right side
    546,719.74x = 157,246,852,468.68
  5. Step 5: Solve for x
    x = 157,246,852,468.68/546,719.74
  6. Step 6: Final answer
    x = 287,618.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.