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Finding the Fourth Proportional to 297,003.60, 445,505.40 and 164,143.35

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Solution

The fourth proportional to 297,003.60, 445,505.40 and 164,143.35 is: 246,215.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,003.60 : 445,505.40 = 164,143.35 : x
  2. Step 2: Convert to fraction form
    297,003.60/445,505.40 = 164,143.35/x
  3. Step 3: Cross multiply
    297,003.60x = 445,505.40 × 164,143.35
  4. Step 4: Simplify right side
    297,003.60x = 73,126,748,799.09
  5. Step 5: Solve for x
    x = 73,126,748,799.09/297,003.60
  6. Step 6: Final answer
    x = 246,215.03

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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.