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Finding the Fourth Proportional to 543,078.84, 814,624.22 and 164,002.78

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Solution

The fourth proportional to 543,078.84, 814,624.22 and 164,002.78 is: 246,005.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,078.84 : 814,624.22 = 164,002.78 : x
  2. Step 2: Convert to fraction form
    543,078.84/814,624.22 = 164,002.78/x
  3. Step 3: Cross multiply
    543,078.84x = 814,624.22 × 164,002.78
  4. Step 4: Simplify right side
    543,078.84x = 133,600,636,735.33
  5. Step 5: Solve for x
    x = 133,600,636,735.33/543,078.84
  6. Step 6: Final answer
    x = 246,005.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.