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Finding the Fourth Proportional to 471,583.38, 650,592.77 and 290,240.58

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Solution

The fourth proportional to 471,583.38, 650,592.77 and 290,240.58 is: 400,413.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,583.38 : 650,592.77 = 290,240.58 : x
  2. Step 2: Convert to fraction form
    471,583.38/650,592.77 = 290,240.58/x
  3. Step 3: Cross multiply
    471,583.38x = 650,592.77 × 290,240.58
  4. Step 4: Simplify right side
    471,583.38x = 188,828,422,908.61
  5. Step 5: Solve for x
    x = 188,828,422,908.61/471,583.38
  6. Step 6: Final answer
    x = 400,413.65

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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.