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Finding the Fourth Proportional to 359,510.64, 496,135.06 and 198,376.09

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Solution

The fourth proportional to 359,510.64, 496,135.06 and 198,376.09 is: 273,764.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,510.64 : 496,135.06 = 198,376.09 : x
  2. Step 2: Convert to fraction form
    359,510.64/496,135.06 = 198,376.09/x
  3. Step 3: Cross multiply
    359,510.64x = 496,135.06 × 198,376.09
  4. Step 4: Simplify right side
    359,510.64x = 98,421,331,578.44
  5. Step 5: Solve for x
    x = 98,421,331,578.44/359,510.64
  6. Step 6: Final answer
    x = 273,764.73

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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.