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Finding the Fourth Proportional to 290,569.36, 400,964.12 and 163,266.16

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Solution

The fourth proportional to 290,569.36, 400,964.12 and 163,266.16 is: 225,295.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,569.36 : 400,964.12 = 163,266.16 : x
  2. Step 2: Convert to fraction form
    290,569.36/400,964.12 = 163,266.16/x
  3. Step 3: Cross multiply
    290,569.36x = 400,964.12 × 163,266.16
  4. Step 4: Simplify right side
    290,569.36x = 65,463,872,170.18
  5. Step 5: Solve for x
    x = 65,463,872,170.18/290,569.36
  6. Step 6: Final answer
    x = 225,295.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.