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Finding the Fourth Proportional to 369,997.10, 510,596.00 and 200,231.22

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Solution

The fourth proportional to 369,997.10, 510,596.00 and 200,231.22 is: 276,319.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,997.10 : 510,596.00 = 200,231.22 : x
  2. Step 2: Convert to fraction form
    369,997.10/510,596.00 = 200,231.22/x
  3. Step 3: Cross multiply
    369,997.10x = 510,596.00 × 200,231.22
  4. Step 4: Simplify right side
    369,997.10x = 102,237,261,671.57
  5. Step 5: Solve for x
    x = 102,237,261,671.57/369,997.10
  6. Step 6: Final answer
    x = 276,319.09

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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.