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Finding the Fourth Proportional to 341,413.77, 471,151.05 and 188,452.00

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Solution

The fourth proportional to 341,413.77, 471,151.05 and 188,452.00 is: 260,063.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,413.77 : 471,151.05 = 188,452.00 : x
  2. Step 2: Convert to fraction form
    341,413.77/471,151.05 = 188,452.00/x
  3. Step 3: Cross multiply
    341,413.77x = 471,151.05 × 188,452.00
  4. Step 4: Simplify right side
    341,413.77x = 88,789,355,318.84
  5. Step 5: Solve for x
    x = 88,789,355,318.84/341,413.77
  6. Step 6: Final answer
    x = 260,063.78

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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.