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Finding the Fourth Proportional to 564,278.81, 846,467.42 and 185,085.81

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Solution

The fourth proportional to 564,278.81, 846,467.42 and 185,085.81 is: 277,644.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,278.81 : 846,467.42 = 185,085.81 : x
  2. Step 2: Convert to fraction form
    564,278.81/846,467.42 = 185,085.81/x
  3. Step 3: Cross multiply
    564,278.81x = 846,467.42 × 185,085.81
  4. Step 4: Simplify right side
    564,278.81x = 156,669,107,143.88
  5. Step 5: Solve for x
    x = 156,669,107,143.88/564,278.81
  6. Step 6: Final answer
    x = 277,644.86

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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.