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Finding the Fourth Proportional to 331,602.36, 457,611.84 and 180,699.36

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Solution

The fourth proportional to 331,602.36, 457,611.84 and 180,699.36 is: 249,365.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,602.36 : 457,611.84 = 180,699.36 : x
  2. Step 2: Convert to fraction form
    331,602.36/457,611.84 = 180,699.36/x
  3. Step 3: Cross multiply
    331,602.36x = 457,611.84 × 180,699.36
  4. Step 4: Simplify right side
    331,602.36x = 82,690,166,616.42
  5. Step 5: Solve for x
    x = 82,690,166,616.42/331,602.36
  6. Step 6: Final answer
    x = 249,365.43

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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.