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Finding the Fourth Proportional to 564,313.27, 846,453.49 and 164,963.43

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Solution

The fourth proportional to 564,313.27, 846,453.49 and 164,963.43 is: 247,440.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,313.27 : 846,453.49 = 164,963.43 : x
  2. Step 2: Convert to fraction form
    564,313.27/846,453.49 = 164,963.43/x
  3. Step 3: Cross multiply
    564,313.27x = 846,453.49 × 164,963.43
  4. Step 4: Simplify right side
    564,313.27x = 139,633,871,045.87
  5. Step 5: Solve for x
    x = 139,633,871,045.87/564,313.27
  6. Step 6: Final answer
    x = 247,440.35

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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.