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Finding the Fourth Proportional to 359,413.15, 495,987.38 and 198,274.99

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Solution

The fourth proportional to 359,413.15, 495,987.38 and 198,274.99 is: 273,617.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,413.15 : 495,987.38 = 198,274.99 : x
  2. Step 2: Convert to fraction form
    359,413.15/495,987.38 = 198,274.99/x
  3. Step 3: Cross multiply
    359,413.15x = 495,987.38 × 198,274.99
  4. Step 4: Simplify right side
    359,413.15x = 98,341,891,694.14
  5. Step 5: Solve for x
    x = 98,341,891,694.14/359,413.15
  6. Step 6: Final answer
    x = 273,617.96

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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.