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Finding the Fourth Proportional to 331,454.06, 457,404.27 and 180,551.06

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Solution

The fourth proportional to 331,454.06, 457,404.27 and 180,551.06 is: 249,159.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,454.06 : 457,404.27 = 180,551.06 : x
  2. Step 2: Convert to fraction form
    331,454.06/457,404.27 = 180,551.06/x
  3. Step 3: Cross multiply
    331,454.06x = 457,404.27 × 180,551.06
  4. Step 4: Simplify right side
    331,454.06x = 82,584,825,797.03
  5. Step 5: Solve for x
    x = 82,584,825,797.03/331,454.06
  6. Step 6: Final answer
    x = 249,159.19

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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.