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Finding the Fourth Proportional to 359,737.22, 496,438.43 and 196,393.98

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Solution

The fourth proportional to 359,737.22, 496,438.43 and 196,393.98 is: 271,024.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,737.22 : 496,438.43 = 196,393.98 : x
  2. Step 2: Convert to fraction form
    359,737.22/496,438.43 = 196,393.98/x
  3. Step 3: Cross multiply
    359,737.22x = 496,438.43 × 196,393.98
  4. Step 4: Simplify right side
    359,737.22x = 97,497,518,110.68
  5. Step 5: Solve for x
    x = 97,497,518,110.68/359,737.22
  6. Step 6: Final answer
    x = 271,024.28

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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.