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Finding the Fourth Proportional to 474,041.88, 654,178.98 and 259,195.80

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Solution

The fourth proportional to 474,041.88, 654,178.98 and 259,195.80 is: 357,690.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,041.88 : 654,178.98 = 259,195.80 : x
  2. Step 2: Convert to fraction form
    474,041.88/654,178.98 = 259,195.80/x
  3. Step 3: Cross multiply
    474,041.88x = 654,178.98 × 259,195.80
  4. Step 4: Simplify right side
    474,041.88x = 169,560,444,064.28
  5. Step 5: Solve for x
    x = 169,560,444,064.28/474,041.88
  6. Step 6: Final answer
    x = 357,690.85

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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.