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Finding the Fourth Proportional to 290,683.80, 401,141.16 and 163,359.12

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Solution

The fourth proportional to 290,683.80, 401,141.16 and 163,359.12 is: 225,434.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,683.80 : 401,141.16 = 163,359.12 : x
  2. Step 2: Convert to fraction form
    290,683.80/401,141.16 = 163,359.12/x
  3. Step 3: Cross multiply
    290,683.80x = 401,141.16 × 163,359.12
  4. Step 4: Simplify right side
    290,683.80x = 65,530,066,893.38
  5. Step 5: Solve for x
    x = 65,530,066,893.38/290,683.80
  6. Step 6: Final answer
    x = 225,434.19

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Why These Related Problems?

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