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Finding the Fourth Proportional to 234,472.56, 351,708.81 and 56,978.34

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Solution

The fourth proportional to 234,472.56, 351,708.81 and 56,978.34 is: 85,467.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,472.56 : 351,708.81 = 56,978.34 : x
  2. Step 2: Convert to fraction form
    234,472.56/351,708.81 = 56,978.34/x
  3. Step 3: Cross multiply
    234,472.56x = 351,708.81 × 56,978.34
  4. Step 4: Simplify right side
    234,472.56x = 20,039,784,157.18
  5. Step 5: Solve for x
    x = 20,039,784,157.18/234,472.56
  6. Step 6: Final answer
    x = 85,467.50

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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.