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Finding the Fourth Proportional to 359,675.07, 496,351.64 and 198,530.17

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Solution

The fourth proportional to 359,675.07, 496,351.64 and 198,530.17 is: 273,971.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,675.07 : 496,351.64 = 198,530.17 : x
  2. Step 2: Convert to fraction form
    359,675.07/496,351.64 = 198,530.17/x
  3. Step 3: Cross multiply
    359,675.07x = 496,351.64 × 198,530.17
  4. Step 4: Simplify right side
    359,675.07x = 98,540,775,468.98
  5. Step 5: Solve for x
    x = 98,540,775,468.98/359,675.07
  6. Step 6: Final answer
    x = 273,971.66

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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.