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Finding the Fourth Proportional to 774,750, 1,162,168.92 and 276,114

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Solution

The fourth proportional to 774,750, 1,162,168.92 and 276,114 is: 414,186.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,750 : 1,162,168.92 = 276,114 : x
  2. Step 2: Convert to fraction form
    774,750/1,162,168.92 = 276,114/x
  3. Step 3: Cross multiply
    774,750x = 1,162,168.92 × 276,114
  4. Step 4: Simplify right side
    774,750x = 320,891,109,176.88
  5. Step 5: Solve for x
    x = 320,891,109,176.88/774,750
  6. Step 6: Final answer
    x = 414,186.65

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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.