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Finding the Fourth Proportional to 310,187.87, 464,950.97 and 176,780.87

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Solution

The fourth proportional to 310,187.87, 464,950.97 and 176,780.87 is: 264,982.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,187.87 : 464,950.97 = 176,780.87 : x
  2. Step 2: Convert to fraction form
    310,187.87/464,950.97 = 176,780.87/x
  3. Step 3: Cross multiply
    310,187.87x = 464,950.97 × 176,780.87
  4. Step 4: Simplify right side
    310,187.87x = 82,194,436,983.94
  5. Step 5: Solve for x
    x = 82,194,436,983.94/310,187.87
  6. Step 6: Final answer
    x = 264,982.76

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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.