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Finding the Fourth Proportional to 367,408.15, 506,988.25 and 206,226.25

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Solution

The fourth proportional to 367,408.15, 506,988.25 and 206,226.25 is: 284,572.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,408.15 : 506,988.25 = 206,226.25 : x
  2. Step 2: Convert to fraction form
    367,408.15/506,988.25 = 206,226.25/x
  3. Step 3: Cross multiply
    367,408.15x = 506,988.25 × 206,226.25
  4. Step 4: Simplify right side
    367,408.15x = 104,554,285,591.56
  5. Step 5: Solve for x
    x = 104,554,285,591.56/367,408.15
  6. Step 6: Final answer
    x = 284,572.58

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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.