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Finding the Fourth Proportional to 513,200.84, 769,604.46 and 176,178.68

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Solution

The fourth proportional to 513,200.84, 769,604.46 and 176,178.68 is: 264,200.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,200.84 : 769,604.46 = 176,178.68 : x
  2. Step 2: Convert to fraction form
    513,200.84/769,604.46 = 176,178.68/x
  3. Step 3: Cross multiply
    513,200.84x = 769,604.46 × 176,178.68
  4. Step 4: Simplify right side
    513,200.84x = 135,587,897,884.91
  5. Step 5: Solve for x
    x = 135,587,897,884.91/513,200.84
  6. Step 6: Final answer
    x = 264,200.46

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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.