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Finding the Fourth Proportional to 513,074.94, 769,609.53 and 176,351.10

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Solution

The fourth proportional to 513,074.94, 769,609.53 and 176,351.10 is: 264,525.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,074.94 : 769,609.53 = 176,351.10 : x
  2. Step 2: Convert to fraction form
    513,074.94/769,609.53 = 176,351.10/x
  3. Step 3: Cross multiply
    513,074.94x = 769,609.53 × 176,351.10
  4. Step 4: Simplify right side
    513,074.94x = 135,721,487,185.98
  5. Step 5: Solve for x
    x = 135,721,487,185.98/513,074.94
  6. Step 6: Final answer
    x = 264,525.66

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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.