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Finding the Fourth Proportional to 492,073.65, 738,110.48 and 159,649.65

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Solution

The fourth proportional to 492,073.65, 738,110.48 and 159,649.65 is: 239,474.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,073.65 : 738,110.48 = 159,649.65 : x
  2. Step 2: Convert to fraction form
    492,073.65/738,110.48 = 159,649.65/x
  3. Step 3: Cross multiply
    492,073.65x = 738,110.48 × 159,649.65
  4. Step 4: Simplify right side
    492,073.65x = 117,839,078,995.08
  5. Step 5: Solve for x
    x = 117,839,078,995.08/492,073.65
  6. Step 6: Final answer
    x = 239,474.48

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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.