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Finding the Fourth Proportional to 469,200.52, 703,729.50 and 153,650.44

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Solution

The fourth proportional to 469,200.52, 703,729.50 and 153,650.44 is: 230,452.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,200.52 : 703,729.50 = 153,650.44 : x
  2. Step 2: Convert to fraction form
    469,200.52/703,729.50 = 153,650.44/x
  3. Step 3: Cross multiply
    469,200.52x = 703,729.50 × 153,650.44
  4. Step 4: Simplify right side
    469,200.52x = 108,128,347,315.98
  5. Step 5: Solve for x
    x = 108,128,347,315.98/469,200.52
  6. Step 6: Final answer
    x = 230,452.32

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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.