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Finding the Fourth Proportional to 329,415.81, 494,157.33 and 89,533.50

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Solution

The fourth proportional to 329,415.81, 494,157.33 and 89,533.50 is: 134,309.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,415.81 : 494,157.33 = 89,533.50 : x
  2. Step 2: Convert to fraction form
    329,415.81/494,157.33 = 89,533.50/x
  3. Step 3: Cross multiply
    329,415.81x = 494,157.33 × 89,533.50
  4. Step 4: Simplify right side
    329,415.81x = 44,243,635,305.56
  5. Step 5: Solve for x
    x = 44,243,635,305.56/329,415.81
  6. Step 6: Final answer
    x = 134,309.39

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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.