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Finding the Fourth Proportional to 397,200.30, 596,055.60 and 219,834.60

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Solution

The fourth proportional to 397,200.30, 596,055.60 and 219,834.60 is: 329,893.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,200.30 : 596,055.60 = 219,834.60 : x
  2. Step 2: Convert to fraction form
    397,200.30/596,055.60 = 219,834.60/x
  3. Step 3: Cross multiply
    397,200.30x = 596,055.60 × 219,834.60
  4. Step 4: Simplify right side
    397,200.30x = 131,033,644,403.76
  5. Step 5: Solve for x
    x = 131,033,644,403.76/397,200.30
  6. Step 6: Final answer
    x = 329,893.12

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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.