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Finding the Fourth Proportional to 324,233.40, 486,177.30 and 137,033.40

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Solution

The fourth proportional to 324,233.40, 486,177.30 and 137,033.40 is: 205,477.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,233.40 : 486,177.30 = 137,033.40 : x
  2. Step 2: Convert to fraction form
    324,233.40/486,177.30 = 137,033.40/x
  3. Step 3: Cross multiply
    324,233.40x = 486,177.30 × 137,033.40
  4. Step 4: Simplify right side
    324,233.40x = 66,622,528,421.82
  5. Step 5: Solve for x
    x = 66,622,528,421.82/324,233.40
  6. Step 6: Final answer
    x = 205,477.07

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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.