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Finding the Fourth Proportional to 499,761.93, 749,642.32 and 162,802.04

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Solution

The fourth proportional to 499,761.93, 749,642.32 and 162,802.04 is: 244,202.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,761.93 : 749,642.32 = 162,802.04 : x
  2. Step 2: Convert to fraction form
    499,761.93/749,642.32 = 162,802.04/x
  3. Step 3: Cross multiply
    499,761.93x = 749,642.32 × 162,802.04
  4. Step 4: Simplify right side
    499,761.93x = 122,043,300,433.43
  5. Step 5: Solve for x
    x = 122,043,300,433.43/499,761.93
  6. Step 6: Final answer
    x = 244,202.88

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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.