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Finding the Fourth Proportional to 462,028.66, 638,223.61 and 348,167.97

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Solution

The fourth proportional to 462,028.66, 638,223.61 and 348,167.97 is: 480,942.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,028.66 : 638,223.61 = 348,167.97 : x
  2. Step 2: Convert to fraction form
    462,028.66/638,223.61 = 348,167.97/x
  3. Step 3: Cross multiply
    462,028.66x = 638,223.61 × 348,167.97
  4. Step 4: Simplify right side
    462,028.66x = 222,209,021,165.75
  5. Step 5: Solve for x
    x = 222,209,021,165.75/462,028.66
  6. Step 6: Final answer
    x = 480,942.07

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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.