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Finding the Fourth Proportional to 415,934.26, 573,989.66 and 224,947.65

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Solution

The fourth proportional to 415,934.26, 573,989.66 and 224,947.65 is: 310,427.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,934.26 : 573,989.66 = 224,947.65 : x
  2. Step 2: Convert to fraction form
    415,934.26/573,989.66 = 224,947.65/x
  3. Step 3: Cross multiply
    415,934.26x = 573,989.66 × 224,947.65
  4. Step 4: Simplify right side
    415,934.26x = 129,117,624,016.56
  5. Step 5: Solve for x
    x = 129,117,624,016.56/415,934.26
  6. Step 6: Final answer
    x = 310,427.96

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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.