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Finding the Fourth Proportional to 494,732.32, 742,151.28 and 162,309.28

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Solution

The fourth proportional to 494,732.32, 742,151.28 and 162,309.28 is: 243,481.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,732.32 : 742,151.28 = 162,309.28 : x
  2. Step 2: Convert to fraction form
    494,732.32/742,151.28 = 162,309.28/x
  3. Step 3: Cross multiply
    494,732.32x = 742,151.28 × 162,309.28
  4. Step 4: Simplify right side
    494,732.32x = 120,458,039,907.88
  5. Step 5: Solve for x
    x = 120,458,039,907.88/494,732.32
  6. Step 6: Final answer
    x = 243,481.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.