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Finding the Fourth Proportional to 359,698.98, 496,381.77 and 198,553.98

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Solution

The fourth proportional to 359,698.98, 496,381.77 and 198,553.98 is: 274,002.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,698.98 : 496,381.77 = 198,553.98 : x
  2. Step 2: Convert to fraction form
    359,698.98/496,381.77 = 198,553.98/x
  3. Step 3: Cross multiply
    359,698.98x = 496,381.77 × 198,553.98
  4. Step 4: Simplify right side
    359,698.98x = 98,558,576,032.94
  5. Step 5: Solve for x
    x = 98,558,576,032.94/359,698.98
  6. Step 6: Final answer
    x = 274,002.93

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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.