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Finding the Fourth Proportional to 513,211.84, 769,620.96 and 176,189.76

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Solution

The fourth proportional to 513,211.84, 769,620.96 and 176,189.76 is: 264,217.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,211.84 : 769,620.96 = 176,189.76 : x
  2. Step 2: Convert to fraction form
    513,211.84/769,620.96 = 176,189.76/x
  3. Step 3: Cross multiply
    513,211.84x = 769,620.96 × 176,189.76
  4. Step 4: Simplify right side
    513,211.84x = 135,599,332,233.37
  5. Step 5: Solve for x
    x = 135,599,332,233.37/513,211.84
  6. Step 6: Final answer
    x = 264,217.08

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1.5x scale

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.