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Finding the Fourth Proportional to 463,412.45, 638,964.33 and 371,458.21

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Solution

The fourth proportional to 463,412.45, 638,964.33 and 371,458.21 is: 512,175.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,412.45 : 638,964.33 = 371,458.21 : x
  2. Step 2: Convert to fraction form
    463,412.45/638,964.33 = 371,458.21/x
  3. Step 3: Cross multiply
    463,412.45x = 638,964.33 × 371,458.21
  4. Step 4: Simplify right side
    463,412.45x = 237,348,546,275.65
  5. Step 5: Solve for x
    x = 237,348,546,275.65/463,412.45
  6. Step 6: Final answer
    x = 512,175.59

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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.