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Finding the Fourth Proportional to 307,354.97, 461,032.44 and 82,715.90

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Solution

The fourth proportional to 307,354.97, 461,032.44 and 82,715.90 is: 124,073.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,354.97 : 461,032.44 = 82,715.90 : x
  2. Step 2: Convert to fraction form
    307,354.97/461,032.44 = 82,715.90/x
  3. Step 3: Cross multiply
    307,354.97x = 461,032.44 × 82,715.90
  4. Step 4: Simplify right side
    307,354.97x = 38,134,710,898.63
  5. Step 5: Solve for x
    x = 38,134,710,898.63/307,354.97
  6. Step 6: Final answer
    x = 124,073.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.