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Finding the Fourth Proportional to 304,306.47, 419,974.32 and 175,249.17

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Solution

The fourth proportional to 304,306.47, 419,974.32 and 175,249.17 is: 241,861.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,306.47 : 419,974.32 = 175,249.17 : x
  2. Step 2: Convert to fraction form
    304,306.47/419,974.32 = 175,249.17/x
  3. Step 3: Cross multiply
    304,306.47x = 419,974.32 × 175,249.17
  4. Step 4: Simplify right side
    304,306.47x = 73,600,150,672.72
  5. Step 5: Solve for x
    x = 73,600,150,672.72/304,306.47
  6. Step 6: Final answer
    x = 241,861.93

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1.5x scale

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.