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Finding the Fourth Proportional to 381,533.26, 572,310.82 and 101,050.50

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Solution

The fourth proportional to 381,533.26, 572,310.82 and 101,050.50 is: 151,578.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,533.26 : 572,310.82 = 101,050.50 : x
  2. Step 2: Convert to fraction form
    381,533.26/572,310.82 = 101,050.50/x
  3. Step 3: Cross multiply
    381,533.26x = 572,310.82 × 101,050.50
  4. Step 4: Simplify right side
    381,533.26x = 57,832,294,516.41
  5. Step 5: Solve for x
    x = 57,832,294,516.41/381,533.26
  6. Step 6: Final answer
    x = 151,578.64

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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.