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Finding the Fourth Proportional to 292,296.48, 403,361.39 and 163,231.38

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Solution

The fourth proportional to 292,296.48, 403,361.39 and 163,231.38 is: 225,254.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,296.48 : 403,361.39 = 163,231.38 : x
  2. Step 2: Convert to fraction form
    292,296.48/403,361.39 = 163,231.38/x
  3. Step 3: Cross multiply
    292,296.48x = 403,361.39 × 163,231.38
  4. Step 4: Simplify right side
    292,296.48x = 65,841,235,512.26
  5. Step 5: Solve for x
    x = 65,841,235,512.26/292,296.48
  6. Step 6: Final answer
    x = 225,254.97

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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.