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Finding the Fourth Proportional to 359,719.98, 496,413.65 and 198,575.14

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Solution

The fourth proportional to 359,719.98, 496,413.65 and 198,575.14 is: 274,033.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,719.98 : 496,413.65 = 198,575.14 : x
  2. Step 2: Convert to fraction form
    359,719.98/496,413.65 = 198,575.14/x
  3. Step 3: Cross multiply
    359,719.98x = 496,413.65 × 198,575.14
  4. Step 4: Simplify right side
    359,719.98x = 98,575,409,302.06
  5. Step 5: Solve for x
    x = 98,575,409,302.06/359,719.98
  6. Step 6: Final answer
    x = 274,033.73

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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.