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Finding the Fourth Proportional to 295,296.40, 441,778.20 and 256,286.80

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Solution

The fourth proportional to 295,296.40, 441,778.20 and 256,286.80 is: 383,417.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,296.40 : 441,778.20 = 256,286.80 : x
  2. Step 2: Convert to fraction form
    295,296.40/441,778.20 = 256,286.80/x
  3. Step 3: Cross multiply
    295,296.40x = 441,778.20 × 256,286.80
  4. Step 4: Simplify right side
    295,296.40x = 113,221,921,187.76
  5. Step 5: Solve for x
    x = 113,221,921,187.76/295,296.40
  6. Step 6: Final answer
    x = 383,417.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.