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Finding the Fourth Proportional to 359,787.60, 496,536.84 and 198,657.36

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Solution

The fourth proportional to 359,787.60, 496,536.84 and 198,657.36 is: 274,163.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,787.60 : 496,536.84 = 198,657.36 : x
  2. Step 2: Convert to fraction form
    359,787.60/496,536.84 = 198,657.36/x
  3. Step 3: Cross multiply
    359,787.60x = 496,536.84 × 198,657.36
  4. Step 4: Simplify right side
    359,787.60x = 98,640,697,777.14
  5. Step 5: Solve for x
    x = 98,640,697,777.14/359,787.60
  6. Step 6: Final answer
    x = 274,163.69

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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.