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Finding the Fourth Proportional to 322,038.71, 482,310.59 and 310,828.95

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Solution

The fourth proportional to 322,038.71, 482,310.59 and 310,828.95 is: 465,521.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,038.71 : 482,310.59 = 310,828.95 : x
  2. Step 2: Convert to fraction form
    322,038.71/482,310.59 = 310,828.95/x
  3. Step 3: Cross multiply
    322,038.71x = 482,310.59 × 310,828.95
  4. Step 4: Simplify right side
    322,038.71x = 149,916,092,709.44
  5. Step 5: Solve for x
    x = 149,916,092,709.44/322,038.71
  6. Step 6: Final answer
    x = 465,521.97

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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.