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Finding the Fourth Proportional to 277,694.12, 383,210.12 and 164,516.87

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Solution

The fourth proportional to 277,694.12, 383,210.12 and 164,516.87 is: 227,028.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,694.12 : 383,210.12 = 164,516.87 : x
  2. Step 2: Convert to fraction form
    277,694.12/383,210.12 = 164,516.87/x
  3. Step 3: Cross multiply
    277,694.12x = 383,210.12 × 164,516.87
  4. Step 4: Simplify right side
    277,694.12x = 63,044,530,864.04
  5. Step 5: Solve for x
    x = 63,044,530,864.04/277,694.12
  6. Step 6: Final answer
    x = 227,028.68

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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.