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Finding the Fourth Proportional to 797,974, 1,101,204.12 and 440,278

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Solution

The fourth proportional to 797,974, 1,101,204.12 and 440,278 is: 607,583.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    797,974 : 1,101,204.12 = 440,278 : x
  2. Step 2: Convert to fraction form
    797,974/1,101,204.12 = 440,278/x
  3. Step 3: Cross multiply
    797,974x = 1,101,204.12 × 440,278
  4. Step 4: Simplify right side
    797,974x = 484,835,947,545.36
  5. Step 5: Solve for x
    x = 484,835,947,545.36/797,974
  6. Step 6: Final answer
    x = 607,583.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.