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Finding the Fourth Proportional to 513,610.91, 770,513.24 and 158,541.90

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Solution

The fourth proportional to 513,610.91, 770,513.24 and 158,541.90 is: 237,842.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,610.91 : 770,513.24 = 158,541.90 : x
  2. Step 2: Convert to fraction form
    513,610.91/770,513.24 = 158,541.90/x
  3. Step 3: Cross multiply
    513,610.91x = 770,513.24 × 158,541.90
  4. Step 4: Simplify right side
    513,610.91x = 122,158,633,044.76
  5. Step 5: Solve for x
    x = 122,158,633,044.76/513,610.91
  6. Step 6: Final answer
    x = 237,842.75

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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.