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Finding the Fourth Proportional to 299,083.46, 412,723.77 and 164,947.46

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Solution

The fourth proportional to 299,083.46, 412,723.77 and 164,947.46 is: 227,621.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,083.46 : 412,723.77 = 164,947.46 : x
  2. Step 2: Convert to fraction form
    299,083.46/412,723.77 = 164,947.46/x
  3. Step 3: Cross multiply
    299,083.46x = 412,723.77 × 164,947.46
  4. Step 4: Simplify right side
    299,083.46x = 68,077,737,543.12
  5. Step 5: Solve for x
    x = 68,077,737,543.12/299,083.46
  6. Step 6: Final answer
    x = 227,621.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.