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Finding the Fourth Proportional to 294,511.10, 441,766.65 and 256,019.90

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Solution

The fourth proportional to 294,511.10, 441,766.65 and 256,019.90 is: 384,029.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,511.10 : 441,766.65 = 256,019.90 : x
  2. Step 2: Convert to fraction form
    294,511.10/441,766.65 = 256,019.90/x
  3. Step 3: Cross multiply
    294,511.10x = 441,766.65 × 256,019.90
  4. Step 4: Simplify right side
    294,511.10x = 113,101,053,556.34
  5. Step 5: Solve for x
    x = 113,101,053,556.34/294,511.10
  6. Step 6: Final answer
    x = 384,029.85

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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.