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Finding the Fourth Proportional to 377,686.69, 566,474.10 and 137,744.31

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Solution

The fourth proportional to 377,686.69, 566,474.10 and 137,744.31 is: 206,596.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,686.69 : 566,474.10 = 137,744.31 : x
  2. Step 2: Convert to fraction form
    377,686.69/566,474.10 = 137,744.31/x
  3. Step 3: Cross multiply
    377,686.69x = 566,474.10 × 137,744.31
  4. Step 4: Simplify right side
    377,686.69x = 78,028,585,645.11
  5. Step 5: Solve for x
    x = 78,028,585,645.11/377,686.69
  6. Step 6: Final answer
    x = 206,596.07

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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.