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Finding the Fourth Proportional to 286,783.38, 395,775.45 and 159,456.24

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Solution

The fourth proportional to 286,783.38, 395,775.45 and 159,456.24 is: 220,057.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,783.38 : 395,775.45 = 159,456.24 : x
  2. Step 2: Convert to fraction form
    286,783.38/395,775.45 = 159,456.24/x
  3. Step 3: Cross multiply
    286,783.38x = 395,775.45 × 159,456.24
  4. Step 4: Simplify right side
    286,783.38x = 63,108,865,141.31
  5. Step 5: Solve for x
    x = 63,108,865,141.31/286,783.38
  6. Step 6: Final answer
    x = 220,057.61

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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.