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Finding the Fourth Proportional to 533,814.56, 801,037.68 and 197,090

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Solution

The fourth proportional to 533,814.56, 801,037.68 and 197,090 is: 295,751.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,814.56 : 801,037.68 = 197,090 : x
  2. Step 2: Convert to fraction form
    533,814.56/801,037.68 = 197,090/x
  3. Step 3: Cross multiply
    533,814.56x = 801,037.68 × 197,090
  4. Step 4: Simplify right side
    533,814.56x = 157,876,516,351.20
  5. Step 5: Solve for x
    x = 157,876,516,351.20/533,814.56
  6. Step 6: Final answer
    x = 295,751.61

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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.