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Finding the Fourth Proportional to 292,419.38, 403,540.02 and 158,283.38

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Solution

The fourth proportional to 292,419.38, 403,540.02 and 158,283.38 is: 218,431.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,419.38 : 403,540.02 = 158,283.38 : x
  2. Step 2: Convert to fraction form
    292,419.38/403,540.02 = 158,283.38/x
  3. Step 3: Cross multiply
    292,419.38x = 403,540.02 × 158,283.38
  4. Step 4: Simplify right side
    292,419.38x = 63,873,678,330.87
  5. Step 5: Solve for x
    x = 63,873,678,330.87/292,419.38
  6. Step 6: Final answer
    x = 218,431.75

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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.