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Finding the Fourth Proportional to 502,192.44, 692,947.71 and 321,065.10

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Solution

The fourth proportional to 502,192.44, 692,947.71 and 321,065.10 is: 443,020.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,192.44 : 692,947.71 = 321,065.10 : x
  2. Step 2: Convert to fraction form
    502,192.44/692,947.71 = 321,065.10/x
  3. Step 3: Cross multiply
    502,192.44x = 692,947.71 × 321,065.10
  4. Step 4: Simplify right side
    502,192.44x = 222,481,325,805.92
  5. Step 5: Solve for x
    x = 222,481,325,805.92/502,192.44
  6. Step 6: Final answer
    x = 443,020.06

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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.