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Finding the Fourth Proportional to 466,198.16, 699,073.56 and 213,400.40

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Solution

The fourth proportional to 466,198.16, 699,073.56 and 213,400.40 is: 319,998.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,198.16 : 699,073.56 = 213,400.40 : x
  2. Step 2: Convert to fraction form
    466,198.16/699,073.56 = 213,400.40/x
  3. Step 3: Cross multiply
    466,198.16x = 699,073.56 × 213,400.40
  4. Step 4: Simplify right side
    466,198.16x = 149,182,577,333.42
  5. Step 5: Solve for x
    x = 149,182,577,333.42/466,198.16
  6. Step 6: Final answer
    x = 319,998.21

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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.