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Finding the Fourth Proportional to 567,257.96, 782,816.12 and 309,134.97

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Solution

The fourth proportional to 567,257.96, 782,816.12 and 309,134.97 is: 426,606.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,257.96 : 782,816.12 = 309,134.97 : x
  2. Step 2: Convert to fraction form
    567,257.96/782,816.12 = 309,134.97/x
  3. Step 3: Cross multiply
    567,257.96x = 782,816.12 × 309,134.97
  4. Step 4: Simplify right side
    567,257.96x = 241,995,836,226.04
  5. Step 5: Solve for x
    x = 241,995,836,226.04/567,257.96
  6. Step 6: Final answer
    x = 426,606.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.