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Finding the Fourth Proportional to 410,722.80, 566,494.20 and 259,674

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Solution

The fourth proportional to 410,722.80, 566,494.20 and 259,674 is: 358,158.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,722.80 : 566,494.20 = 259,674 : x
  2. Step 2: Convert to fraction form
    410,722.80/566,494.20 = 259,674/x
  3. Step 3: Cross multiply
    410,722.80x = 566,494.20 × 259,674
  4. Step 4: Simplify right side
    410,722.80x = 147,103,814,890.80
  5. Step 5: Solve for x
    x = 147,103,814,890.80/410,722.80
  6. Step 6: Final answer
    x = 358,158.39

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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.