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Finding the Fourth Proportional to 384,198.78, 530,183.76 and 212,113.62

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Solution

The fourth proportional to 384,198.78, 530,183.76 and 212,113.62 is: 292,710.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,198.78 : 530,183.76 = 212,113.62 : x
  2. Step 2: Convert to fraction form
    384,198.78/530,183.76 = 212,113.62/x
  3. Step 3: Cross multiply
    384,198.78x = 530,183.76 × 212,113.62
  4. Step 4: Simplify right side
    384,198.78x = 112,459,195,803.39
  5. Step 5: Solve for x
    x = 112,459,195,803.39/384,198.78
  6. Step 6: Final answer
    x = 292,710.96

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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.