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Finding the Fourth Proportional to 315,223.20, 472,424.40 and 128,016

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Solution

The fourth proportional to 315,223.20, 472,424.40 and 128,016 is: 191,857.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,223.20 : 472,424.40 = 128,016 : x
  2. Step 2: Convert to fraction form
    315,223.20/472,424.40 = 128,016/x
  3. Step 3: Cross multiply
    315,223.20x = 472,424.40 × 128,016
  4. Step 4: Simplify right side
    315,223.20x = 60,477,881,990.40
  5. Step 5: Solve for x
    x = 60,477,881,990.40/315,223.20
  6. Step 6: Final answer
    x = 191,857.33

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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.