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Finding the Fourth Proportional to 541,156.40, 810,847.96 and 288,168.28

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Solution

The fourth proportional to 541,156.40, 810,847.96 and 288,168.28 is: 431,780.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,156.40 : 810,847.96 = 288,168.28 : x
  2. Step 2: Convert to fraction form
    541,156.40/810,847.96 = 288,168.28/x
  3. Step 3: Cross multiply
    541,156.40x = 810,847.96 × 288,168.28
  4. Step 4: Simplify right side
    541,156.40x = 233,660,661,974.71
  5. Step 5: Solve for x
    x = 233,660,661,974.71/541,156.40
  6. Step 6: Final answer
    x = 431,780.28

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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.