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Finding the Fourth Proportional to 302,776.73, 417,832.28 and 164,954.97

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Solution

The fourth proportional to 302,776.73, 417,832.28 and 164,954.97 is: 227,638.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,776.73 : 417,832.28 = 164,954.97 : x
  2. Step 2: Convert to fraction form
    302,776.73/417,832.28 = 164,954.97/x
  3. Step 3: Cross multiply
    302,776.73x = 417,832.28 × 164,954.97
  4. Step 4: Simplify right side
    302,776.73x = 68,923,510,387.66
  5. Step 5: Solve for x
    x = 68,923,510,387.66/302,776.73
  6. Step 6: Final answer
    x = 227,638.07

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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.