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Finding the Fourth Proportional to 564,142.38, 846,241.79 and 185,029.58

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Solution

The fourth proportional to 564,142.38, 846,241.79 and 185,029.58 is: 277,553.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,142.38 : 846,241.79 = 185,029.58 : x
  2. Step 2: Convert to fraction form
    564,142.38/846,241.79 = 185,029.58/x
  3. Step 3: Cross multiply
    564,142.38x = 846,241.79 × 185,029.58
  4. Step 4: Simplify right side
    564,142.38x = 156,579,757,825.79
  5. Step 5: Solve for x
    x = 156,579,757,825.79/564,142.38
  6. Step 6: Final answer
    x = 277,553.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.