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Finding the Fourth Proportional to 275,467.30, 413,200.95 and 228,228.10

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Solution

The fourth proportional to 275,467.30, 413,200.95 and 228,228.10 is: 342,342.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,467.30 : 413,200.95 = 228,228.10 : x
  2. Step 2: Convert to fraction form
    275,467.30/413,200.95 = 228,228.10/x
  3. Step 3: Cross multiply
    275,467.30x = 413,200.95 × 228,228.10
  4. Step 4: Simplify right side
    275,467.30x = 94,304,067,736.70
  5. Step 5: Solve for x
    x = 94,304,067,736.70/275,467.30
  6. Step 6: Final answer
    x = 342,342.15

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1.5x scale

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.