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Finding the Fourth Proportional to 397,336.58, 595,999.30 and 97,819.64

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Solution

The fourth proportional to 397,336.58, 595,999.30 and 97,819.64 is: 146,728.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,336.58 : 595,999.30 = 97,819.64 : x
  2. Step 2: Convert to fraction form
    397,336.58/595,999.30 = 97,819.64/x
  3. Step 3: Cross multiply
    397,336.58x = 595,999.30 × 97,819.64
  4. Step 4: Simplify right side
    397,336.58x = 58,300,436,966.25
  5. Step 5: Solve for x
    x = 58,300,436,966.25/397,336.58
  6. Step 6: Final answer
    x = 146,728.09

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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.