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Finding the Fourth Proportional to 315,378.24, 472,816 and 182,107.20

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Solution

The fourth proportional to 315,378.24, 472,816 and 182,107.20 is: 273,015.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,378.24 : 472,816 = 182,107.20 : x
  2. Step 2: Convert to fraction form
    315,378.24/472,816 = 182,107.20/x
  3. Step 3: Cross multiply
    315,378.24x = 472,816 × 182,107.20
  4. Step 4: Simplify right side
    315,378.24x = 86,103,197,875.20
  5. Step 5: Solve for x
    x = 86,103,197,875.20/315,378.24
  6. Step 6: Final answer
    x = 273,015.66

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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.