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Finding the Fourth Proportional to 341,413.28, 471,197.76 and 190,520

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Solution

The fourth proportional to 341,413.28, 471,197.76 and 190,520 is: 262,944.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,413.28 : 471,197.76 = 190,520 : x
  2. Step 2: Convert to fraction form
    341,413.28/471,197.76 = 190,520/x
  3. Step 3: Cross multiply
    341,413.28x = 471,197.76 × 190,520
  4. Step 4: Simplify right side
    341,413.28x = 89,772,597,235.20
  5. Step 5: Solve for x
    x = 89,772,597,235.20/341,413.28
  6. Step 6: Final answer
    x = 262,944.07

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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.