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Finding the Fourth Proportional to 400,716.29, 601,295.77 and 223,323.25

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Solution

The fourth proportional to 400,716.29, 601,295.77 and 223,323.25 is: 335,108.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,716.29 : 601,295.77 = 223,323.25 : x
  2. Step 2: Convert to fraction form
    400,716.29/601,295.77 = 223,323.25/x
  3. Step 3: Cross multiply
    400,716.29x = 601,295.77 × 223,323.25
  4. Step 4: Simplify right side
    400,716.29x = 134,283,325,567.65
  5. Step 5: Solve for x
    x = 134,283,325,567.65/400,716.29
  6. Step 6: Final answer
    x = 335,108.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.