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Finding the Fourth Proportional to 300,699.92, 414,961.20 and 164,732.72

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Solution

The fourth proportional to 300,699.92, 414,961.20 and 164,732.72 is: 227,328.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,699.92 : 414,961.20 = 164,732.72 : x
  2. Step 2: Convert to fraction form
    300,699.92/414,961.20 = 164,732.72/x
  3. Step 3: Cross multiply
    300,699.92x = 414,961.20 × 164,732.72
  4. Step 4: Simplify right side
    300,699.92x = 68,357,687,170.46
  5. Step 5: Solve for x
    x = 68,357,687,170.46/300,699.92
  6. Step 6: Final answer
    x = 227,328.58

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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.