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Finding the Fourth Proportional to 324,851.88, 486,950.72 and 135,417.14

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Solution

The fourth proportional to 324,851.88, 486,950.72 and 135,417.14 is: 202,989.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,851.88 : 486,950.72 = 135,417.14 : x
  2. Step 2: Convert to fraction form
    324,851.88/486,950.72 = 135,417.14/x
  3. Step 3: Cross multiply
    324,851.88x = 486,950.72 × 135,417.14
  4. Step 4: Simplify right side
    324,851.88x = 65,941,470,711.50
  5. Step 5: Solve for x
    x = 65,941,470,711.50/324,851.88
  6. Step 6: Final answer
    x = 202,989.35

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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.