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Finding the Fourth Proportional to 331,371.84, 457,293.20 and 180,468.84

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Solution

The fourth proportional to 331,371.84, 457,293.20 and 180,468.84 is: 249,047.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,371.84 : 457,293.20 = 180,468.84 : x
  2. Step 2: Convert to fraction form
    331,371.84/457,293.20 = 180,468.84/x
  3. Step 3: Cross multiply
    331,371.84x = 457,293.20 × 180,468.84
  4. Step 4: Simplify right side
    331,371.84x = 82,527,174,156.39
  5. Step 5: Solve for x
    x = 82,527,174,156.39/331,371.84
  6. Step 6: Final answer
    x = 249,047.03

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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.