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Finding the Fourth Proportional to 564,081.46, 846,201.30 and 164,751.82

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Solution

The fourth proportional to 564,081.46, 846,201.30 and 164,751.82 is: 247,150.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,081.46 : 846,201.30 = 164,751.82 : x
  2. Step 2: Convert to fraction form
    564,081.46/846,201.30 = 164,751.82/x
  3. Step 3: Cross multiply
    564,081.46x = 846,201.30 × 164,751.82
  4. Step 4: Simplify right side
    564,081.46x = 139,413,204,261.37
  5. Step 5: Solve for x
    x = 139,413,204,261.37/564,081.46
  6. Step 6: Final answer
    x = 247,150.84

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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.