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Finding the Fourth Proportional to 331,177.60, 496,985.10 and 189,022.60

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Solution

The fourth proportional to 331,177.60, 496,985.10 and 189,022.60 is: 283,658.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,177.60 : 496,985.10 = 189,022.60 : x
  2. Step 2: Convert to fraction form
    331,177.60/496,985.10 = 189,022.60/x
  3. Step 3: Cross multiply
    331,177.60x = 496,985.10 × 189,022.60
  4. Step 4: Simplify right side
    331,177.60x = 93,941,415,763.26
  5. Step 5: Solve for x
    x = 93,941,415,763.26/331,177.60
  6. Step 6: Final answer
    x = 283,658.72

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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.