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Finding the Fourth Proportional to 483,141.84, 724,012.76 and 272,331.12

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Solution

The fourth proportional to 483,141.84, 724,012.76 and 272,331.12 is: 408,102.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,141.84 : 724,012.76 = 272,331.12 : x
  2. Step 2: Convert to fraction form
    483,141.84/724,012.76 = 272,331.12/x
  3. Step 3: Cross multiply
    483,141.84x = 724,012.76 × 272,331.12
  4. Step 4: Simplify right side
    483,141.84x = 197,171,205,825.09
  5. Step 5: Solve for x
    x = 197,171,205,825.09/483,141.84
  6. Step 6: Final answer
    x = 408,102.11

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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.