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Finding the Fourth Proportional to 286,780.24, 395,713.38 and 165,897.64

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Solution

The fourth proportional to 286,780.24, 395,713.38 and 165,897.64 is: 228,913.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,780.24 : 395,713.38 = 165,897.64 : x
  2. Step 2: Convert to fraction form
    286,780.24/395,713.38 = 165,897.64/x
  3. Step 3: Cross multiply
    286,780.24x = 395,713.38 × 165,897.64
  4. Step 4: Simplify right side
    286,780.24x = 65,647,915,858.42
  5. Step 5: Solve for x
    x = 65,647,915,858.42/286,780.24
  6. Step 6: Final answer
    x = 228,913.67

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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.