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Finding the Fourth Proportional to 300,293.72, 414,398.93 and 164,327.12

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Solution

The fourth proportional to 300,293.72, 414,398.93 and 164,327.12 is: 226,767.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,293.72 : 414,398.93 = 164,327.12 : x
  2. Step 2: Convert to fraction form
    300,293.72/414,398.93 = 164,327.12/x
  3. Step 3: Cross multiply
    300,293.72x = 414,398.93 × 164,327.12
  4. Step 4: Simplify right side
    300,293.72x = 68,096,982,697.98
  5. Step 5: Solve for x
    x = 68,096,982,697.98/300,293.72
  6. Step 6: Final answer
    x = 226,767.92

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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.