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Finding the Fourth Proportional to 299,501.26, 413,309.64 and 163,535.13

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Solution

The fourth proportional to 299,501.26, 413,309.64 and 163,535.13 is: 225,677.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,501.26 : 413,309.64 = 163,535.13 : x
  2. Step 2: Convert to fraction form
    299,501.26/413,309.64 = 163,535.13/x
  3. Step 3: Cross multiply
    299,501.26x = 413,309.64 × 163,535.13
  4. Step 4: Simplify right side
    299,501.26x = 67,590,645,707.65
  5. Step 5: Solve for x
    x = 67,590,645,707.65/299,501.26
  6. Step 6: Final answer
    x = 225,677.33

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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.