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Finding the Fourth Proportional to 359,653.72, 496,325.74 and 198,505.24

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Solution

The fourth proportional to 359,653.72, 496,325.74 and 198,505.24 is: 273,939.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,653.72 : 496,325.74 = 198,505.24 : x
  2. Step 2: Convert to fraction form
    359,653.72/496,325.74 = 198,505.24/x
  3. Step 3: Cross multiply
    359,653.72x = 496,325.74 × 198,505.24
  4. Step 4: Simplify right side
    359,653.72x = 98,523,260,136.88
  5. Step 5: Solve for x
    x = 98,523,260,136.88/359,653.72
  6. Step 6: Final answer
    x = 273,939.22

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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.