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Finding the Fourth Proportional to 313,237.80, 469,565.10 and 218,467.80

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Solution

The fourth proportional to 313,237.80, 469,565.10 and 218,467.80 is: 327,498.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,237.80 : 469,565.10 = 218,467.80 : x
  2. Step 2: Convert to fraction form
    313,237.80/469,565.10 = 218,467.80/x
  3. Step 3: Cross multiply
    313,237.80x = 469,565.10 × 218,467.80
  4. Step 4: Simplify right side
    313,237.80x = 102,584,854,353.78
  5. Step 5: Solve for x
    x = 102,584,854,353.78/313,237.80
  6. Step 6: Final answer
    x = 327,498.32

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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.