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Finding the Fourth Proportional to 322,006.21, 482,472.01 and 141,823.33

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Solution

The fourth proportional to 322,006.21, 482,472.01 and 141,823.33 is: 212,498.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,006.21 : 482,472.01 = 141,823.33 : x
  2. Step 2: Convert to fraction form
    322,006.21/482,472.01 = 141,823.33/x
  3. Step 3: Cross multiply
    322,006.21x = 482,472.01 × 141,823.33
  4. Step 4: Simplify right side
    322,006.21x = 68,425,787,089.99
  5. Step 5: Solve for x
    x = 68,425,787,089.99/322,006.21
  6. Step 6: Final answer
    x = 212,498.35

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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.