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Finding the Fourth Proportional to 292,418.38, 403,538.64 and 158,282.38

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Solution

The fourth proportional to 292,418.38, 403,538.64 and 158,282.38 is: 218,430.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,418.38 : 403,538.64 = 158,282.38 : x
  2. Step 2: Convert to fraction form
    292,418.38/403,538.64 = 158,282.38/x
  3. Step 3: Cross multiply
    292,418.38x = 403,538.64 × 158,282.38
  4. Step 4: Simplify right side
    292,418.38x = 63,873,056,361.16
  5. Step 5: Solve for x
    x = 63,873,056,361.16/292,418.38
  6. Step 6: Final answer
    x = 218,430.37

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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.