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Finding the Fourth Proportional to 331,627, 457,648.50 and 180,727.24

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Solution

The fourth proportional to 331,627, 457,648.50 and 180,727.24 is: 249,405.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,627 : 457,648.50 = 180,727.24 : x
  2. Step 2: Convert to fraction form
    331,627/457,648.50 = 180,727.24/x
  3. Step 3: Cross multiply
    331,627x = 457,648.50 × 180,727.24
  4. Step 4: Simplify right side
    331,627x = 82,709,550,295.14
  5. Step 5: Solve for x
    x = 82,709,550,295.14/331,627
  6. Step 6: Final answer
    x = 249,405.36

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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.