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Finding the Fourth Proportional to 298,633.38, 412,114.08 and 164,497.38

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Solution

The fourth proportional to 298,633.38, 412,114.08 and 164,497.38 is: 227,006.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,633.38 : 412,114.08 = 164,497.38 : x
  2. Step 2: Convert to fraction form
    298,633.38/412,114.08 = 164,497.38/x
  3. Step 3: Cross multiply
    298,633.38x = 412,114.08 × 164,497.38
  4. Step 4: Simplify right side
    298,633.38x = 67,791,684,360.54
  5. Step 5: Solve for x
    x = 67,791,684,360.54/298,633.38
  6. Step 6: Final answer
    x = 227,006.39

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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.