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Finding the Fourth Proportional to 482,822.88, 724,241.84 and 183,224.32

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Solution

The fourth proportional to 482,822.88, 724,241.84 and 183,224.32 is: 274,839.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,822.88 : 724,241.84 = 183,224.32 : x
  2. Step 2: Convert to fraction form
    482,822.88/724,241.84 = 183,224.32/x
  3. Step 3: Cross multiply
    482,822.88x = 724,241.84 × 183,224.32
  4. Step 4: Simplify right side
    482,822.88x = 132,698,718,649.55
  5. Step 5: Solve for x
    x = 132,698,718,649.55/482,822.88
  6. Step 6: Final answer
    x = 274,839.33

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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.