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Finding the Fourth Proportional to 400,644.60, 601,026.44 and 116,337.64

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Solution

The fourth proportional to 400,644.60, 601,026.44 and 116,337.64 is: 174,523.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,644.60 : 601,026.44 = 116,337.64 : x
  2. Step 2: Convert to fraction form
    400,644.60/601,026.44 = 116,337.64/x
  3. Step 3: Cross multiply
    400,644.60x = 601,026.44 × 116,337.64
  4. Step 4: Simplify right side
    400,644.60x = 69,921,997,607.20
  5. Step 5: Solve for x
    x = 69,921,997,607.20/400,644.60
  6. Step 6: Final answer
    x = 174,523.75

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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.