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Finding the Fourth Proportional to 2,297,892, 3,446,838 and 614,951.76

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Solution

The fourth proportional to 2,297,892, 3,446,838 and 614,951.76 is: 922,427.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297,892 : 3,446,838 = 614,951.76 : x
  2. Step 2: Convert to fraction form
    2,297,892/3,446,838 = 614,951.76/x
  3. Step 3: Cross multiply
    2,297,892x = 3,446,838 × 614,951.76
  4. Step 4: Simplify right side
    2,297,892x = 2,119,639,094,534.88
  5. Step 5: Solve for x
    x = 2,119,639,094,534.88/2,297,892
  6. Step 6: Final answer
    x = 922,427.64

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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.