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Finding the Fourth Proportional to 359,708.98, 496,398.48 and 198,564.14

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Solution

The fourth proportional to 359,708.98, 496,398.48 and 198,564.14 is: 274,018.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,708.98 : 496,398.48 = 198,564.14 : x
  2. Step 2: Convert to fraction form
    359,708.98/496,398.48 = 198,564.14/x
  3. Step 3: Cross multiply
    359,708.98x = 496,398.48 × 198,564.14
  4. Step 4: Simplify right side
    359,708.98x = 98,566,936,658.03
  5. Step 5: Solve for x
    x = 98,566,936,658.03/359,708.98
  6. Step 6: Final answer
    x = 274,018.56

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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.