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Finding the Fourth Proportional to 502,977.12, 694,395.36 and 333,440.88

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Solution

The fourth proportional to 502,977.12, 694,395.36 and 333,440.88 is: 460,338.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,977.12 : 694,395.36 = 333,440.88 : x
  2. Step 2: Convert to fraction form
    502,977.12/694,395.36 = 333,440.88/x
  3. Step 3: Cross multiply
    502,977.12x = 694,395.36 × 333,440.88
  4. Step 4: Simplify right side
    502,977.12x = 231,539,799,906.32
  5. Step 5: Solve for x
    x = 231,539,799,906.32/502,977.12
  6. Step 6: Final answer
    x = 460,338.63

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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.