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Finding the Fourth Proportional to 502,918.62, 694,314.63 and 333,382.38

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Solution

The fourth proportional to 502,918.62, 694,314.63 and 333,382.38 is: 460,257.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,918.62 : 694,314.63 = 333,382.38 : x
  2. Step 2: Convert to fraction form
    502,918.62/694,314.63 = 333,382.38/x
  3. Step 3: Cross multiply
    502,918.62x = 694,314.63 × 333,382.38
  4. Step 4: Simplify right side
    502,918.62x = 231,472,263,818.22
  5. Step 5: Solve for x
    x = 231,472,263,818.22/502,918.62
  6. Step 6: Final answer
    x = 460,257.89

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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.