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Finding the Fourth Proportional to 272,433.20, 407,872.20 and 264,657.20

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Solution

The fourth proportional to 272,433.20, 407,872.20 and 264,657.20 is: 396,230.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,433.20 : 407,872.20 = 264,657.20 : x
  2. Step 2: Convert to fraction form
    272,433.20/407,872.20 = 264,657.20/x
  3. Step 3: Cross multiply
    272,433.20x = 407,872.20 × 264,657.20
  4. Step 4: Simplify right side
    272,433.20x = 107,946,314,409.84
  5. Step 5: Solve for x
    x = 107,946,314,409.84/272,433.20
  6. Step 6: Final answer
    x = 396,230.39

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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.