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Finding the Fourth Proportional to 585,622.80, 878,472.60 and 164,912.40

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Solution

The fourth proportional to 585,622.80, 878,472.60 and 164,912.40 is: 247,379.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,622.80 : 878,472.60 = 164,912.40 : x
  2. Step 2: Convert to fraction form
    585,622.80/878,472.60 = 164,912.40/x
  3. Step 3: Cross multiply
    585,622.80x = 878,472.60 × 164,912.40
  4. Step 4: Simplify right side
    585,622.80x = 144,871,024,800.24
  5. Step 5: Solve for x
    x = 144,871,024,800.24/585,622.80
  6. Step 6: Final answer
    x = 247,379.41

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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.