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Finding the Fourth Proportional to 315,027.30, 472,418.10 and 137,413.20

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Solution

The fourth proportional to 315,027.30, 472,418.10 and 137,413.20 is: 206,066.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,027.30 : 472,418.10 = 137,413.20 : x
  2. Step 2: Convert to fraction form
    315,027.30/472,418.10 = 137,413.20/x
  3. Step 3: Cross multiply
    315,027.30x = 472,418.10 × 137,413.20
  4. Step 4: Simplify right side
    315,027.30x = 64,916,482,858.92
  5. Step 5: Solve for x
    x = 64,916,482,858.92/315,027.30
  6. Step 6: Final answer
    x = 206,066.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.