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Finding the Fourth Proportional to 397,270.30, 596,160.60 and 219,904.60

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Solution

The fourth proportional to 397,270.30, 596,160.60 and 219,904.60 is: 329,998.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,270.30 : 596,160.60 = 219,904.60 : x
  2. Step 2: Convert to fraction form
    397,270.30/596,160.60 = 219,904.60/x
  3. Step 3: Cross multiply
    397,270.30x = 596,160.60 × 219,904.60
  4. Step 4: Simplify right side
    397,270.30x = 131,098,458,278.76
  5. Step 5: Solve for x
    x = 131,098,458,278.76/397,270.30
  6. Step 6: Final answer
    x = 329,998.14

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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.