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Finding the Fourth Proportional to 624,493.60, 936,742.56 and 151,178.24

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Solution

The fourth proportional to 624,493.60, 936,742.56 and 151,178.24 is: 226,767.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,493.60 : 936,742.56 = 151,178.24 : x
  2. Step 2: Convert to fraction form
    624,493.60/936,742.56 = 151,178.24/x
  3. Step 3: Cross multiply
    624,493.60x = 936,742.56 × 151,178.24
  4. Step 4: Simplify right side
    624,493.60x = 141,615,091,553.89
  5. Step 5: Solve for x
    x = 141,615,091,553.89/624,493.60
  6. Step 6: Final answer
    x = 226,767.88

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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.