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Finding the Fourth Proportional to 359,840.98, 496,580.58 and 198,696.34

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Solution

The fourth proportional to 359,840.98, 496,580.58 and 198,696.34 is: 274,200.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,840.98 : 496,580.58 = 198,696.34 : x
  2. Step 2: Convert to fraction form
    359,840.98/496,580.58 = 198,696.34/x
  3. Step 3: Cross multiply
    359,840.98x = 496,580.58 × 198,696.34
  4. Step 4: Simplify right side
    359,840.98x = 98,668,743,761.08
  5. Step 5: Solve for x
    x = 98,668,743,761.08/359,840.98
  6. Step 6: Final answer
    x = 274,200.96

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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.