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Finding the Fourth Proportional to 359,564.22, 496,226.67 and 206,655.79

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Solution

The fourth proportional to 359,564.22, 496,226.67 and 206,655.79 is: 285,201.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,564.22 : 496,226.67 = 206,655.79 : x
  2. Step 2: Convert to fraction form
    359,564.22/496,226.67 = 206,655.79/x
  3. Step 3: Cross multiply
    359,564.22x = 496,226.67 × 206,655.79
  4. Step 4: Simplify right side
    359,564.22x = 102,548,114,585.26
  5. Step 5: Solve for x
    x = 102,548,114,585.26/359,564.22
  6. Step 6: Final answer
    x = 285,201.11

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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.