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Finding the Fourth Proportional to 1,121,446, 1,682,868.84 and 456,598

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Solution

The fourth proportional to 1,121,446, 1,682,868.84 and 456,598 is: 685,181.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,121,446 : 1,682,868.84 = 456,598 : x
  2. Step 2: Convert to fraction form
    1,121,446/1,682,868.84 = 456,598/x
  3. Step 3: Cross multiply
    1,121,446x = 1,682,868.84 × 456,598
  4. Step 4: Simplify right side
    1,121,446x = 768,394,546,606.32
  5. Step 5: Solve for x
    x = 768,394,546,606.32/1,121,446
  6. Step 6: Final answer
    x = 685,181.94

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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.