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Finding the Fourth Proportional to 564,313.02, 846,453.12 and 164,963.18

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Solution

The fourth proportional to 564,313.02, 846,453.12 and 164,963.18 is: 247,439.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,313.02 : 846,453.12 = 164,963.18 : x
  2. Step 2: Convert to fraction form
    564,313.02/846,453.12 = 164,963.18/x
  3. Step 3: Cross multiply
    564,313.02x = 846,453.12 × 164,963.18
  4. Step 4: Simplify right side
    564,313.02x = 139,633,594,163.86
  5. Step 5: Solve for x
    x = 139,633,594,163.86/564,313.02
  6. Step 6: Final answer
    x = 247,439.97

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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.