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Finding the Fourth Proportional to 322,032.29, 482,300.98 and 310,822.55

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Solution

The fourth proportional to 322,032.29, 482,300.98 and 310,822.55 is: 465,512.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,032.29 : 482,300.98 = 310,822.55 : x
  2. Step 2: Convert to fraction form
    322,032.29/482,300.98 = 310,822.55/x
  3. Step 3: Cross multiply
    322,032.29x = 482,300.98 × 310,822.55
  4. Step 4: Simplify right side
    322,032.29x = 149,910,020,471.10
  5. Step 5: Solve for x
    x = 149,910,020,471.10/322,032.29
  6. Step 6: Final answer
    x = 465,512.39

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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.