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Finding the Fourth Proportional to 290,143.81, 400,406.34 and 162,827.20

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Solution

The fourth proportional to 290,143.81, 400,406.34 and 162,827.20 is: 224,705.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,143.81 : 400,406.34 = 162,827.20 : x
  2. Step 2: Convert to fraction form
    290,143.81/400,406.34 = 162,827.20/x
  3. Step 3: Cross multiply
    290,143.81x = 400,406.34 × 162,827.20
  4. Step 4: Simplify right side
    290,143.81x = 65,197,043,204.45
  5. Step 5: Solve for x
    x = 65,197,043,204.45/290,143.81
  6. Step 6: Final answer
    x = 224,705.96

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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.