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Finding the Fourth Proportional to 359,519.84, 496,137 and 198,374.88

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Solution

The fourth proportional to 359,519.84, 496,137 and 198,374.88 is: 273,757.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,519.84 : 496,137 = 198,374.88 : x
  2. Step 2: Convert to fraction form
    359,519.84/496,137 = 198,374.88/x
  3. Step 3: Cross multiply
    359,519.84x = 496,137 × 198,374.88
  4. Step 4: Simplify right side
    359,519.84x = 98,421,117,838.56
  5. Step 5: Solve for x
    x = 98,421,117,838.56/359,519.84
  6. Step 6: Final answer
    x = 273,757.13

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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.