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Finding the Fourth Proportional to 325,291.80, 488,046.69 and 112,206.80

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Solution

The fourth proportional to 325,291.80, 488,046.69 and 112,206.80 is: 168,347.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,291.80 : 488,046.69 = 112,206.80 : x
  2. Step 2: Convert to fraction form
    325,291.80/488,046.69 = 112,206.80/x
  3. Step 3: Cross multiply
    325,291.80x = 488,046.69 × 112,206.80
  4. Step 4: Simplify right side
    325,291.80x = 54,762,157,335.49
  5. Step 5: Solve for x
    x = 54,762,157,335.49/325,291.80
  6. Step 6: Final answer
    x = 168,347.80

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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.