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Finding the Fourth Proportional to 272,056.40, 408,084.60 and 231,815.60

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Solution

The fourth proportional to 272,056.40, 408,084.60 and 231,815.60 is: 347,723.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,056.40 : 408,084.60 = 231,815.60 : x
  2. Step 2: Convert to fraction form
    272,056.40/408,084.60 = 231,815.60/x
  3. Step 3: Cross multiply
    272,056.40x = 408,084.60 × 231,815.60
  4. Step 4: Simplify right side
    272,056.40x = 94,600,376,399.76
  5. Step 5: Solve for x
    x = 94,600,376,399.76/272,056.40
  6. Step 6: Final answer
    x = 347,723.40

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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.