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Finding the Fourth Proportional to 541,313.15, 747,209.03 and 314,958.65

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Solution

The fourth proportional to 541,313.15, 747,209.03 and 314,958.65 is: 434,757.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,313.15 : 747,209.03 = 314,958.65 : x
  2. Step 2: Convert to fraction form
    541,313.15/747,209.03 = 314,958.65/x
  3. Step 3: Cross multiply
    541,313.15x = 747,209.03 × 314,958.65
  4. Step 4: Simplify right side
    541,313.15x = 235,339,942,045.77
  5. Step 5: Solve for x
    x = 235,339,942,045.77/541,313.15
  6. Step 6: Final answer
    x = 434,757.49

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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.