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Finding the Fourth Proportional to 535,363.31, 738,802.44 and 293,647.88

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Solution

The fourth proportional to 535,363.31, 738,802.44 and 293,647.88 is: 405,234.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,363.31 : 738,802.44 = 293,647.88 : x
  2. Step 2: Convert to fraction form
    535,363.31/738,802.44 = 293,647.88/x
  3. Step 3: Cross multiply
    535,363.31x = 738,802.44 × 293,647.88
  4. Step 4: Simplify right side
    535,363.31x = 216,947,766,550.82
  5. Step 5: Solve for x
    x = 216,947,766,550.82/535,363.31
  6. Step 6: Final answer
    x = 405,234.65

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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.