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Finding the Fourth Proportional to 393,454.53, 590,065.97 and 153,514.71

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Solution

The fourth proportional to 393,454.53, 590,065.97 and 153,514.71 is: 230,226.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,454.53 : 590,065.97 = 153,514.71 : x
  2. Step 2: Convert to fraction form
    393,454.53/590,065.97 = 153,514.71/x
  3. Step 3: Cross multiply
    393,454.53x = 590,065.97 × 153,514.71
  4. Step 4: Simplify right side
    393,454.53x = 90,583,805,497.85
  5. Step 5: Solve for x
    x = 90,583,805,497.85/393,454.53
  6. Step 6: Final answer
    x = 230,226.87

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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.