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Finding the Fourth Proportional to 359,841.48, 496,581.27 and 198,696.84

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Solution

The fourth proportional to 359,841.48, 496,581.27 and 198,696.84 is: 274,201.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,841.48 : 496,581.27 = 198,696.84 : x
  2. Step 2: Convert to fraction form
    359,841.48/496,581.27 = 198,696.84/x
  3. Step 3: Cross multiply
    359,841.48x = 496,581.27 × 198,696.84
  4. Step 4: Simplify right side
    359,841.48x = 98,669,129,152.19
  5. Step 5: Solve for x
    x = 98,669,129,152.19/359,841.48
  6. Step 6: Final answer
    x = 274,201.65

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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.