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Finding the Fourth Proportional to 534,990.86, 801,983.94 and 179,756.46

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Solution

The fourth proportional to 534,990.86, 801,983.94 and 179,756.46 is: 269,465.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,990.86 : 801,983.94 = 179,756.46 : x
  2. Step 2: Convert to fraction form
    534,990.86/801,983.94 = 179,756.46/x
  3. Step 3: Cross multiply
    534,990.86x = 801,983.94 × 179,756.46
  4. Step 4: Simplify right side
    534,990.86x = 144,161,794,031.25
  5. Step 5: Solve for x
    x = 144,161,794,031.25/534,990.86
  6. Step 6: Final answer
    x = 269,465.90

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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.