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Finding the Fourth Proportional to 517,996.49, 777,105.90 and 293,464.49

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Solution

The fourth proportional to 517,996.49, 777,105.90 and 293,464.49 is: 440,259.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,996.49 : 777,105.90 = 293,464.49 : x
  2. Step 2: Convert to fraction form
    517,996.49/777,105.90 = 293,464.49/x
  3. Step 3: Cross multiply
    517,996.49x = 777,105.90 × 293,464.49
  4. Step 4: Simplify right side
    517,996.49x = 228,052,982,733.96
  5. Step 5: Solve for x
    x = 228,052,982,733.96/517,996.49
  6. Step 6: Final answer
    x = 440,259.71

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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.