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Finding the Fourth Proportional to 359,474, 496,074.12 and 200,498

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Solution

The fourth proportional to 359,474, 496,074.12 and 200,498 is: 276,687.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,474 : 496,074.12 = 200,498 : x
  2. Step 2: Convert to fraction form
    359,474/496,074.12 = 200,498/x
  3. Step 3: Cross multiply
    359,474x = 496,074.12 × 200,498
  4. Step 4: Simplify right side
    359,474x = 99,461,868,911.76
  5. Step 5: Solve for x
    x = 99,461,868,911.76/359,474
  6. Step 6: Final answer
    x = 276,687.24

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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.