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Finding the Fourth Proportional to 331,469.82, 457,428.47 and 180,566.82

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Solution

The fourth proportional to 331,469.82, 457,428.47 and 180,566.82 is: 249,182.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,469.82 : 457,428.47 = 180,566.82 : x
  2. Step 2: Convert to fraction form
    331,469.82/457,428.47 = 180,566.82/x
  3. Step 3: Cross multiply
    331,469.82x = 457,428.47 × 180,566.82
  4. Step 4: Simplify right side
    331,469.82x = 82,596,403,302.53
  5. Step 5: Solve for x
    x = 82,596,403,302.53/331,469.82
  6. Step 6: Final answer
    x = 249,182.27

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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.