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Finding the Fourth Proportional to 1,788,209.40, 2,467,793.87 and 1,024,410.58

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Solution

The fourth proportional to 1,788,209.40, 2,467,793.87 and 1,024,410.58 is: 1,413,723.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,788,209.40 : 2,467,793.87 = 1,024,410.58 : x
  2. Step 2: Convert to fraction form
    1,788,209.40/2,467,793.87 = 1,024,410.58/x
  3. Step 3: Cross multiply
    1,788,209.40x = 2,467,793.87 × 1,024,410.58
  4. Step 4: Simplify right side
    1,788,209.40x = 2,528,034,149,687.14
  5. Step 5: Solve for x
    x = 2,528,034,149,687.14/1,788,209.40
  6. Step 6: Final answer
    x = 1,413,723.78

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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.