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Finding the Fourth Proportional to 275,006.20, 412,509.30 and 164,414.20

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Solution

The fourth proportional to 275,006.20, 412,509.30 and 164,414.20 is: 246,621.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,006.20 : 412,509.30 = 164,414.20 : x
  2. Step 2: Convert to fraction form
    275,006.20/412,509.30 = 164,414.20/x
  3. Step 3: Cross multiply
    275,006.20x = 412,509.30 × 164,414.20
  4. Step 4: Simplify right side
    275,006.20x = 67,822,386,552.06
  5. Step 5: Solve for x
    x = 67,822,386,552.06/275,006.20
  6. Step 6: Final answer
    x = 246,621.30

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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.