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Finding the Fourth Proportional to 272,064.40, 408,096.60 and 205,709.20

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Solution

The fourth proportional to 272,064.40, 408,096.60 and 205,709.20 is: 308,563.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,064.40 : 408,096.60 = 205,709.20 : x
  2. Step 2: Convert to fraction form
    272,064.40/408,096.60 = 205,709.20/x
  3. Step 3: Cross multiply
    272,064.40x = 408,096.60 × 205,709.20
  4. Step 4: Simplify right side
    272,064.40x = 83,949,225,108.72
  5. Step 5: Solve for x
    x = 83,949,225,108.72/272,064.40
  6. Step 6: Final answer
    x = 308,563.80

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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.