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Finding the Fourth Proportional to 297,072.60, 445,412.10 and 164,016.60

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Solution

The fourth proportional to 297,072.60, 445,412.10 and 164,016.60 is: 245,916.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,072.60 : 445,412.10 = 164,016.60 : x
  2. Step 2: Convert to fraction form
    297,072.60/445,412.10 = 164,016.60/x
  3. Step 3: Cross multiply
    297,072.60x = 445,412.10 × 164,016.60
  4. Step 4: Simplify right side
    297,072.60x = 73,054,978,240.86
  5. Step 5: Solve for x
    x = 73,054,978,240.86/297,072.60
  6. Step 6: Final answer
    x = 245,916.24

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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.