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Finding the Fourth Proportional to 409,163.39, 564,623.23 and 225,366.18

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Solution

The fourth proportional to 409,163.39, 564,623.23 and 225,366.18 is: 310,993.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,163.39 : 564,623.23 = 225,366.18 : x
  2. Step 2: Convert to fraction form
    409,163.39/564,623.23 = 225,366.18/x
  3. Step 3: Cross multiply
    409,163.39x = 564,623.23 × 225,366.18
  4. Step 4: Simplify right side
    409,163.39x = 127,246,980,484.36
  5. Step 5: Solve for x
    x = 127,246,980,484.36/409,163.39
  6. Step 6: Final answer
    x = 310,993.08

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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.