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Finding the Fourth Proportional to 302,082.84, 416,867.54 and 164,258.79

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Solution

The fourth proportional to 302,082.84, 416,867.54 and 164,258.79 is: 226,673.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,082.84 : 416,867.54 = 164,258.79 : x
  2. Step 2: Convert to fraction form
    302,082.84/416,867.54 = 164,258.79/x
  3. Step 3: Cross multiply
    302,082.84x = 416,867.54 × 164,258.79
  4. Step 4: Simplify right side
    302,082.84x = 68,474,156,889.38
  5. Step 5: Solve for x
    x = 68,474,156,889.38/302,082.84
  6. Step 6: Final answer
    x = 226,673.44

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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.