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Finding the Fourth Proportional to 537,832.74, 806,753.74 and 153,580.60

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Solution

The fourth proportional to 537,832.74, 806,753.74 and 153,580.60 is: 230,372.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,832.74 : 806,753.74 = 153,580.60 : x
  2. Step 2: Convert to fraction form
    537,832.74/806,753.74 = 153,580.60/x
  3. Step 3: Cross multiply
    537,832.74x = 806,753.74 × 153,580.60
  4. Step 4: Simplify right side
    537,832.74x = 123,901,723,441.44
  5. Step 5: Solve for x
    x = 123,901,723,441.44/537,832.74
  6. Step 6: Final answer
    x = 230,372.22

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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.