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Finding the Fourth Proportional to 324,712.16, 486,535.77 and 229,477.20

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Solution

The fourth proportional to 324,712.16, 486,535.77 and 229,477.20 is: 343,839.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,712.16 : 486,535.77 = 229,477.20 : x
  2. Step 2: Convert to fraction form
    324,712.16/486,535.77 = 229,477.20/x
  3. Step 3: Cross multiply
    324,712.16x = 486,535.77 × 229,477.20
  4. Step 4: Simplify right side
    324,712.16x = 111,648,866,199.44
  5. Step 5: Solve for x
    x = 111,648,866,199.44/324,712.16
  6. Step 6: Final answer
    x = 343,839.50

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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.