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Finding the Fourth Proportional to 413,711.70, 620,640.45 and 147,626.70

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Solution

The fourth proportional to 413,711.70, 620,640.45 and 147,626.70 is: 221,466.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,711.70 : 620,640.45 = 147,626.70 : x
  2. Step 2: Convert to fraction form
    413,711.70/620,640.45 = 147,626.70/x
  3. Step 3: Cross multiply
    413,711.70x = 620,640.45 × 147,626.70
  4. Step 4: Simplify right side
    413,711.70x = 91,623,101,520.02
  5. Step 5: Solve for x
    x = 91,623,101,520.02/413,711.70
  6. Step 6: Final answer
    x = 221,466.06

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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.