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Finding the Fourth Proportional to 322,041.40, 483,062.10 and 232,811.80

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Solution

The fourth proportional to 322,041.40, 483,062.10 and 232,811.80 is: 349,217.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,041.40 : 483,062.10 = 232,811.80 : x
  2. Step 2: Convert to fraction form
    322,041.40/483,062.10 = 232,811.80/x
  3. Step 3: Cross multiply
    322,041.40x = 483,062.10 × 232,811.80
  4. Step 4: Simplify right side
    322,041.40x = 112,462,557,012.78
  5. Step 5: Solve for x
    x = 112,462,557,012.78/322,041.40
  6. Step 6: Final answer
    x = 349,217.70

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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.