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Finding the Fourth Proportional to 502,907.44, 693,842.36 and 285,092.76

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Solution

The fourth proportional to 502,907.44, 693,842.36 and 285,092.76 is: 393,331.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,907.44 : 693,842.36 = 285,092.76 : x
  2. Step 2: Convert to fraction form
    502,907.44/693,842.36 = 285,092.76/x
  3. Step 3: Cross multiply
    502,907.44x = 693,842.36 × 285,092.76
  4. Step 4: Simplify right side
    502,907.44x = 197,809,433,417.31
  5. Step 5: Solve for x
    x = 197,809,433,417.31/502,907.44
  6. Step 6: Final answer
    x = 393,331.69

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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.