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Finding the Fourth Proportional to 421,287.72, 581,377.44 and 230,301.24

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Solution

The fourth proportional to 421,287.72, 581,377.44 and 230,301.24 is: 317,815.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,287.72 : 581,377.44 = 230,301.24 : x
  2. Step 2: Convert to fraction form
    421,287.72/581,377.44 = 230,301.24/x
  3. Step 3: Cross multiply
    421,287.72x = 581,377.44 × 230,301.24
  4. Step 4: Simplify right side
    421,287.72x = 133,891,945,340.03
  5. Step 5: Solve for x
    x = 133,891,945,340.03/421,287.72
  6. Step 6: Final answer
    x = 317,815.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.