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Finding the Fourth Proportional to 469,223.20, 703,836.24 and 114,237.28

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Solution

The fourth proportional to 469,223.20, 703,836.24 and 114,237.28 is: 171,356.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,223.20 : 703,836.24 = 114,237.28 : x
  2. Step 2: Convert to fraction form
    469,223.20/703,836.24 = 114,237.28/x
  3. Step 3: Cross multiply
    469,223.20x = 703,836.24 × 114,237.28
  4. Step 4: Simplify right side
    469,223.20x = 80,404,337,623.03
  5. Step 5: Solve for x
    x = 80,404,337,623.03/469,223.20
  6. Step 6: Final answer
    x = 171,356.27

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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.