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Finding the Fourth Proportional to 324,281.80, 486,422.70 and 102,665.80

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Solution

The fourth proportional to 324,281.80, 486,422.70 and 102,665.80 is: 153,998.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,281.80 : 486,422.70 = 102,665.80 : x
  2. Step 2: Convert to fraction form
    324,281.80/486,422.70 = 102,665.80/x
  3. Step 3: Cross multiply
    324,281.80x = 486,422.70 × 102,665.80
  4. Step 4: Simplify right side
    324,281.80x = 49,938,975,633.66
  5. Step 5: Solve for x
    x = 49,938,975,633.66/324,281.80
  6. Step 6: Final answer
    x = 153,998.70

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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.