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Finding the Fourth Proportional to 331,319.10, 496,978.65 and 331,319.10

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Solution

The fourth proportional to 331,319.10, 496,978.65 and 331,319.10 is: 496,978.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,319.10 : 496,978.65 = 331,319.10 : x
  2. Step 2: Convert to fraction form
    331,319.10/496,978.65 = 331,319.10/x
  3. Step 3: Cross multiply
    331,319.10x = 496,978.65 × 331,319.10
  4. Step 4: Simplify right side
    331,319.10x = 164,658,519,037.22
  5. Step 5: Solve for x
    x = 164,658,519,037.22/331,319.10
  6. Step 6: Final answer
    x = 496,978.65

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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.