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Finding the Fourth Proportional to 367,065.34, 506,553.62 and 205,923.85

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Solution

The fourth proportional to 367,065.34, 506,553.62 and 205,923.85 is: 284,176.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,065.34 : 506,553.62 = 205,923.85 : x
  2. Step 2: Convert to fraction form
    367,065.34/506,553.62 = 205,923.85/x
  3. Step 3: Cross multiply
    367,065.34x = 506,553.62 × 205,923.85
  4. Step 4: Simplify right side
    367,065.34x = 104,311,469,129.07
  5. Step 5: Solve for x
    x = 104,311,469,129.07/367,065.34
  6. Step 6: Final answer
    x = 284,176.84

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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.