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Finding the Fourth Proportional to 359,886.08, 496,658.76 and 206,973.92

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Solution

The fourth proportional to 359,886.08, 496,658.76 and 206,973.92 is: 285,633.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,886.08 : 496,658.76 = 206,973.92 : x
  2. Step 2: Convert to fraction form
    359,886.08/496,658.76 = 206,973.92/x
  3. Step 3: Cross multiply
    359,886.08x = 496,658.76 × 206,973.92
  4. Step 4: Simplify right side
    359,886.08x = 102,795,410,459.54
  5. Step 5: Solve for x
    x = 102,795,410,459.54/359,886.08
  6. Step 6: Final answer
    x = 285,633.19

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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.