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Finding the Fourth Proportional to 537,110.80, 804,744.60 and 256,022.80

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Solution

The fourth proportional to 537,110.80, 804,744.60 and 256,022.80 is: 383,594.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,110.80 : 804,744.60 = 256,022.80 : x
  2. Step 2: Convert to fraction form
    537,110.80/804,744.60 = 256,022.80/x
  3. Step 3: Cross multiply
    537,110.80x = 804,744.60 × 256,022.80
  4. Step 4: Simplify right side
    537,110.80x = 206,032,965,776.88
  5. Step 5: Solve for x
    x = 206,032,965,776.88/537,110.80
  6. Step 6: Final answer
    x = 383,594.90

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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.