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Finding the Fourth Proportional to 305,213.76, 457,230.24 and 171,688.32

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Solution

The fourth proportional to 305,213.76, 457,230.24 and 171,688.32 is: 257,200.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,213.76 : 457,230.24 = 171,688.32 : x
  2. Step 2: Convert to fraction form
    305,213.76/457,230.24 = 171,688.32/x
  3. Step 3: Cross multiply
    305,213.76x = 457,230.24 × 171,688.32
  4. Step 4: Simplify right side
    305,213.76x = 78,501,091,758.80
  5. Step 5: Solve for x
    x = 78,501,091,758.80/305,213.76
  6. Step 6: Final answer
    x = 257,200.37

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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.