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Finding the Fourth Proportional to 341,413.14, 471,150.19 and 188,451.38

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Solution

The fourth proportional to 341,413.14, 471,150.19 and 188,451.38 is: 260,062.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,413.14 : 471,150.19 = 188,451.38 : x
  2. Step 2: Convert to fraction form
    341,413.14/471,150.19 = 188,451.38/x
  3. Step 3: Cross multiply
    341,413.14x = 471,150.19 × 188,451.38
  4. Step 4: Simplify right side
    341,413.14x = 88,788,900,194.75
  5. Step 5: Solve for x
    x = 88,788,900,194.75/341,413.14
  6. Step 6: Final answer
    x = 260,062.93

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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.