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Finding the Fourth Proportional to 513,108.96, 769,674.96 and 176,147.04

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Solution

The fourth proportional to 513,108.96, 769,674.96 and 176,147.04 is: 264,224.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,108.96 : 769,674.96 = 176,147.04 : x
  2. Step 2: Convert to fraction form
    513,108.96/769,674.96 = 176,147.04/x
  3. Step 3: Cross multiply
    513,108.96x = 769,674.96 × 176,147.04
  4. Step 4: Simplify right side
    513,108.96x = 135,575,965,966.12
  5. Step 5: Solve for x
    x = 135,575,965,966.12/513,108.96
  6. Step 6: Final answer
    x = 264,224.51

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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.