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Finding the Fourth Proportional to 512,117.40, 768,176.10 and 275,921.40

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Solution

The fourth proportional to 512,117.40, 768,176.10 and 275,921.40 is: 413,882.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,117.40 : 768,176.10 = 275,921.40 : x
  2. Step 2: Convert to fraction form
    512,117.40/768,176.10 = 275,921.40/x
  3. Step 3: Cross multiply
    512,117.40x = 768,176.10 × 275,921.40
  4. Step 4: Simplify right side
    512,117.40x = 211,956,224,958.54
  5. Step 5: Solve for x
    x = 211,956,224,958.54/512,117.40
  6. Step 6: Final answer
    x = 413,882.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.