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Finding the Fourth Proportional to 564,648.12, 846,902.52 and 165,284.64

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Solution

The fourth proportional to 564,648.12, 846,902.52 and 165,284.64 is: 247,906.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,648.12 : 846,902.52 = 165,284.64 : x
  2. Step 2: Convert to fraction form
    564,648.12/846,902.52 = 165,284.64/x
  3. Step 3: Cross multiply
    564,648.12x = 846,902.52 × 165,284.64
  4. Step 4: Simplify right side
    564,648.12x = 139,979,978,133.29
  5. Step 5: Solve for x
    x = 139,979,978,133.29/564,648.12
  6. Step 6: Final answer
    x = 247,906.57

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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.