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Finding the Fourth Proportional to 359,826.38, 496,604.14 and 208,923.38

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Solution

The fourth proportional to 359,826.38, 496,604.14 and 208,923.38 is: 288,339.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,826.38 : 496,604.14 = 208,923.38 : x
  2. Step 2: Convert to fraction form
    359,826.38/496,604.14 = 208,923.38/x
  3. Step 3: Cross multiply
    359,826.38x = 496,604.14 × 208,923.38
  4. Step 4: Simplify right side
    359,826.38x = 103,752,212,445.46
  5. Step 5: Solve for x
    x = 103,752,212,445.46/359,826.38
  6. Step 6: Final answer
    x = 288,339.65

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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.