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Finding the Fourth Proportional to 659,650.78, 910,319.84 and 357,844.78

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Solution

The fourth proportional to 659,650.78, 910,319.84 and 357,844.78 is: 493,826.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,650.78 : 910,319.84 = 357,844.78 : x
  2. Step 2: Convert to fraction form
    659,650.78/910,319.84 = 357,844.78/x
  3. Step 3: Cross multiply
    659,650.78x = 910,319.84 × 357,844.78
  4. Step 4: Simplify right side
    659,650.78x = 325,753,202,874.44
  5. Step 5: Solve for x
    x = 325,753,202,874.44/659,650.78
  6. Step 6: Final answer
    x = 493,826.75

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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.