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Finding the Fourth Proportional to 492,997.32, 739,581.03 and 156,032.46

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Solution

The fourth proportional to 492,997.32, 739,581.03 and 156,032.46 is: 234,075.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,997.32 : 739,581.03 = 156,032.46 : x
  2. Step 2: Convert to fraction form
    492,997.32/739,581.03 = 156,032.46/x
  3. Step 3: Cross multiply
    492,997.32x = 739,581.03 × 156,032.46
  4. Step 4: Simplify right side
    492,997.32x = 115,398,647,480.23
  5. Step 5: Solve for x
    x = 115,398,647,480.23/492,997.32
  6. Step 6: Final answer
    x = 234,075.61

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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.