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Finding the Fourth Proportional to 331,546.50, 457,534.17 and 180,643.50

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Solution

The fourth proportional to 331,546.50, 457,534.17 and 180,643.50 is: 249,288.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,546.50 : 457,534.17 = 180,643.50 : x
  2. Step 2: Convert to fraction form
    331,546.50/457,534.17 = 180,643.50/x
  3. Step 3: Cross multiply
    331,546.50x = 457,534.17 × 180,643.50
  4. Step 4: Simplify right side
    331,546.50x = 82,650,573,838.40
  5. Step 5: Solve for x
    x = 82,650,573,838.40/331,546.50
  6. Step 6: Final answer
    x = 249,288.03

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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.