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Finding the Fourth Proportional to 510,778.50, 766,223.10 and 191,082.84

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Solution

The fourth proportional to 510,778.50, 766,223.10 and 191,082.84 is: 286,644.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,778.50 : 766,223.10 = 191,082.84 : x
  2. Step 2: Convert to fraction form
    510,778.50/766,223.10 = 191,082.84/x
  3. Step 3: Cross multiply
    510,778.50x = 766,223.10 × 191,082.84
  4. Step 4: Simplify right side
    510,778.50x = 146,412,086,021.60
  5. Step 5: Solve for x
    x = 146,412,086,021.60/510,778.50
  6. Step 6: Final answer
    x = 286,644.97

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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.