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Finding the Fourth Proportional to 301,082.65, 415,512.71 and 166,946.65

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Solution

The fourth proportional to 301,082.65, 415,512.71 and 166,946.65 is: 230,396.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,082.65 : 415,512.71 = 166,946.65 : x
  2. Step 2: Convert to fraction form
    301,082.65/415,512.71 = 166,946.65/x
  3. Step 3: Cross multiply
    301,082.65x = 415,512.71 × 166,946.65
  4. Step 4: Simplify right side
    301,082.65x = 69,368,454,966.92
  5. Step 5: Solve for x
    x = 69,368,454,966.92/301,082.65
  6. Step 6: Final answer
    x = 230,396.72

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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.