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Finding the Fourth Proportional to 359,651.72, 496,322.98 and 198,503.24

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Solution

The fourth proportional to 359,651.72, 496,322.98 and 198,503.24 is: 273,936.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,651.72 : 496,322.98 = 198,503.24 : x
  2. Step 2: Convert to fraction form
    359,651.72/496,322.98 = 198,503.24/x
  3. Step 3: Cross multiply
    359,651.72x = 496,322.98 × 198,503.24
  4. Step 4: Simplify right side
    359,651.72x = 98,521,719,616.46
  5. Step 5: Solve for x
    x = 98,521,719,616.46/359,651.72
  6. Step 6: Final answer
    x = 273,936.46

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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.