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Finding the Fourth Proportional to 536,785.80, 804,257.10 and 255,697.80

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Solution

The fourth proportional to 536,785.80, 804,257.10 and 255,697.80 is: 383,107.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,785.80 : 804,257.10 = 255,697.80 : x
  2. Step 2: Convert to fraction form
    536,785.80/804,257.10 = 255,697.80/x
  3. Step 3: Cross multiply
    536,785.80x = 804,257.10 × 255,697.80
  4. Step 4: Simplify right side
    536,785.80x = 205,646,771,104.38
  5. Step 5: Solve for x
    x = 205,646,771,104.38/536,785.80
  6. Step 6: Final answer
    x = 383,107.70

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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.