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Finding the Fourth Proportional to 331,867.86, 457,976.80 and 180,964.86

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Solution

The fourth proportional to 331,867.86, 457,976.80 and 180,964.86 is: 249,731.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,867.86 : 457,976.80 = 180,964.86 : x
  2. Step 2: Convert to fraction form
    331,867.86/457,976.80 = 180,964.86/x
  3. Step 3: Cross multiply
    331,867.86x = 457,976.80 × 180,964.86
  4. Step 4: Simplify right side
    331,867.86x = 82,877,707,495.25
  5. Step 5: Solve for x
    x = 82,877,707,495.25/331,867.86
  6. Step 6: Final answer
    x = 249,731.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.