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Finding the Fourth Proportional to 331,583.86, 457,586.31 and 180,680.86

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Solution

The fourth proportional to 331,583.86, 457,586.31 and 180,680.86 is: 249,339.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,583.86 : 457,586.31 = 180,680.86 : x
  2. Step 2: Convert to fraction form
    331,583.86/457,586.31 = 180,680.86/x
  3. Step 3: Cross multiply
    331,583.86x = 457,586.31 × 180,680.86
  4. Step 4: Simplify right side
    331,583.86x = 82,677,088,015.03
  5. Step 5: Solve for x
    x = 82,677,088,015.03/331,583.86
  6. Step 6: Final answer
    x = 249,339.90

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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.