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Finding the Fourth Proportional to 459,753.48, 689,601.60 and 220,037.64

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Solution

The fourth proportional to 459,753.48, 689,601.60 and 220,037.64 is: 330,042.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,753.48 : 689,601.60 = 220,037.64 : x
  2. Step 2: Convert to fraction form
    459,753.48/689,601.60 = 220,037.64/x
  3. Step 3: Cross multiply
    459,753.48x = 689,601.60 × 220,037.64
  4. Step 4: Simplify right side
    459,753.48x = 151,738,308,604.22
  5. Step 5: Solve for x
    x = 151,738,308,604.22/459,753.48
  6. Step 6: Final answer
    x = 330,042.76

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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.