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Finding the Fourth Proportional to 293,822.40, 441,194.40 and 200,740.80

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Solution

The fourth proportional to 293,822.40, 441,194.40 and 200,740.80 is: 301,426.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,822.40 : 441,194.40 = 200,740.80 : x
  2. Step 2: Convert to fraction form
    293,822.40/441,194.40 = 200,740.80/x
  3. Step 3: Cross multiply
    293,822.40x = 441,194.40 × 200,740.80
  4. Step 4: Simplify right side
    293,822.40x = 88,565,716,811.52
  5. Step 5: Solve for x
    x = 88,565,716,811.52/293,822.40
  6. Step 6: Final answer
    x = 301,426.02

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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.