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Finding the Fourth Proportional to 400,769.74, 601,194.10 and 116,462.78

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Solution

The fourth proportional to 400,769.74, 601,194.10 and 116,462.78 is: 174,705.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,769.74 : 601,194.10 = 116,462.78 : x
  2. Step 2: Convert to fraction form
    400,769.74/601,194.10 = 116,462.78/x
  3. Step 3: Cross multiply
    400,769.74x = 601,194.10 × 116,462.78
  4. Step 4: Simplify right side
    400,769.74x = 70,016,735,381.32
  5. Step 5: Solve for x
    x = 70,016,735,381.32/400,769.74
  6. Step 6: Final answer
    x = 174,705.64

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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.