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Finding the Fourth Proportional to 293,205.40, 439,808.10 and 261,712.60

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Solution

The fourth proportional to 293,205.40, 439,808.10 and 261,712.60 is: 392,568.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,205.40 : 439,808.10 = 261,712.60 : x
  2. Step 2: Convert to fraction form
    293,205.40/439,808.10 = 261,712.60/x
  3. Step 3: Cross multiply
    293,205.40x = 439,808.10 × 261,712.60
  4. Step 4: Simplify right side
    293,205.40x = 115,103,321,352.06
  5. Step 5: Solve for x
    x = 115,103,321,352.06/293,205.40
  6. Step 6: Final answer
    x = 392,568.90

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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.