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Finding the Fourth Proportional to 286,419.33, 395,206.56 and 165,516.30

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Solution

The fourth proportional to 286,419.33, 395,206.56 and 165,516.30 is: 228,382.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,419.33 : 395,206.56 = 165,516.30 : x
  2. Step 2: Convert to fraction form
    286,419.33/395,206.56 = 165,516.30/x
  3. Step 3: Cross multiply
    286,419.33x = 395,206.56 × 165,516.30
  4. Step 4: Simplify right side
    286,419.33x = 65,413,127,546.93
  5. Step 5: Solve for x
    x = 65,413,127,546.93/286,419.33
  6. Step 6: Final answer
    x = 228,382.38

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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.