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Finding the Fourth Proportional to 359,488.80, 496,138.49 and 206,526.71

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Solution

The fourth proportional to 359,488.80, 496,138.49 and 206,526.71 is: 285,032.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,488.80 : 496,138.49 = 206,526.71 : x
  2. Step 2: Convert to fraction form
    359,488.80/496,138.49 = 206,526.71/x
  3. Step 3: Cross multiply
    359,488.80x = 496,138.49 × 206,526.71
  4. Step 4: Simplify right side
    359,488.80x = 102,465,846,530.74
  5. Step 5: Solve for x
    x = 102,465,846,530.74/359,488.80
  6. Step 6: Final answer
    x = 285,032.10

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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.