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Finding the Fourth Proportional to 513,033.75, 769,561.56 and 176,072.94

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Solution

The fourth proportional to 513,033.75, 769,561.56 and 176,072.94 is: 264,113.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,033.75 : 769,561.56 = 176,072.94 : x
  2. Step 2: Convert to fraction form
    513,033.75/769,561.56 = 176,072.94/x
  3. Step 3: Cross multiply
    513,033.75x = 769,561.56 × 176,072.94
  4. Step 4: Simplify right side
    513,033.75x = 135,498,966,380.19
  5. Step 5: Solve for x
    x = 135,498,966,380.19/513,033.75
  6. Step 6: Final answer
    x = 264,113.16

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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.