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Finding the Fourth Proportional to 541,126, 746,751.45 and 311,599.54

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Solution

The fourth proportional to 541,126, 746,751.45 and 311,599.54 is: 430,005.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,126 : 746,751.45 = 311,599.54 : x
  2. Step 2: Convert to fraction form
    541,126/746,751.45 = 311,599.54/x
  3. Step 3: Cross multiply
    541,126x = 746,751.45 × 311,599.54
  4. Step 4: Simplify right side
    541,126x = 232,687,408,314.33
  5. Step 5: Solve for x
    x = 232,687,408,314.33/541,126
  6. Step 6: Final answer
    x = 430,005.97

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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.