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Finding the Fourth Proportional to 302,908.84, 417,997.95 and 166,915.71

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Solution

The fourth proportional to 302,908.84, 417,997.95 and 166,915.71 is: 230,334.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,908.84 : 417,997.95 = 166,915.71 : x
  2. Step 2: Convert to fraction form
    302,908.84/417,997.95 = 166,915.71/x
  3. Step 3: Cross multiply
    302,908.84x = 417,997.95 × 166,915.71
  4. Step 4: Simplify right side
    302,908.84x = 69,770,425,228.73
  5. Step 5: Solve for x
    x = 69,770,425,228.73/302,908.84
  6. Step 6: Final answer
    x = 230,334.73

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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.