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Finding the Fourth Proportional to 300,777.94, 415,073.66 and 164,810.78

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Solution

The fourth proportional to 300,777.94, 415,073.66 and 164,810.78 is: 227,438.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,777.94 : 415,073.66 = 164,810.78 : x
  2. Step 2: Convert to fraction form
    300,777.94/415,073.66 = 164,810.78/x
  3. Step 3: Cross multiply
    300,777.94x = 415,073.66 × 164,810.78
  4. Step 4: Simplify right side
    300,777.94x = 68,408,613,662.05
  5. Step 5: Solve for x
    x = 68,408,613,662.05/300,777.94
  6. Step 6: Final answer
    x = 227,438.93

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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.