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Finding the Fourth Proportional to 367,090.78, 506,555.49 and 205,923.46

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Solution

The fourth proportional to 367,090.78, 506,555.49 and 205,923.46 is: 284,157.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,090.78 : 506,555.49 = 205,923.46 : x
  2. Step 2: Convert to fraction form
    367,090.78/506,555.49 = 205,923.46/x
  3. Step 3: Cross multiply
    367,090.78x = 506,555.49 × 205,923.46
  4. Step 4: Simplify right side
    367,090.78x = 104,311,659,182.80
  5. Step 5: Solve for x
    x = 104,311,659,182.80/367,090.78
  6. Step 6: Final answer
    x = 284,157.67

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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.