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Finding the Fourth Proportional to 331,869.11, 457,978.52 and 180,966.11

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Solution

The fourth proportional to 331,869.11, 457,978.52 and 180,966.11 is: 249,732.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,869.11 : 457,978.52 = 180,966.11 : x
  2. Step 2: Convert to fraction form
    331,869.11/457,978.52 = 180,966.11/x
  3. Step 3: Cross multiply
    331,869.11x = 457,978.52 × 180,966.11
  4. Step 4: Simplify right side
    331,869.11x = 82,878,588,033.23
  5. Step 5: Solve for x
    x = 82,878,588,033.23/331,869.11
  6. Step 6: Final answer
    x = 249,732.76

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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.