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Finding the Fourth Proportional to 369,993, 510,590.36 and 200,227.12

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Solution

The fourth proportional to 369,993, 510,590.36 and 200,227.12 is: 276,313.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,993 : 510,590.36 = 200,227.12 : x
  2. Step 2: Convert to fraction form
    369,993/510,590.36 = 200,227.12/x
  3. Step 3: Cross multiply
    369,993x = 510,590.36 × 200,227.12
  4. Step 4: Simplify right side
    369,993x = 102,234,037,282.56
  5. Step 5: Solve for x
    x = 102,234,037,282.56/369,993
  6. Step 6: Final answer
    x = 276,313.44

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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.