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Finding the Fourth Proportional to 400,773.37, 601,199.54 and 116,466.40

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Solution

The fourth proportional to 400,773.37, 601,199.54 and 116,466.40 is: 174,711.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,773.37 : 601,199.54 = 116,466.40 : x
  2. Step 2: Convert to fraction form
    400,773.37/601,199.54 = 116,466.40/x
  3. Step 3: Cross multiply
    400,773.37x = 601,199.54 × 116,466.40
  4. Step 4: Simplify right side
    400,773.37x = 70,019,546,105.46
  5. Step 5: Solve for x
    x = 70,019,546,105.46/400,773.37
  6. Step 6: Final answer
    x = 174,711.07

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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.