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Finding the Fourth Proportional to 397,275.30, 596,168.10 and 219,909.60

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Solution

The fourth proportional to 397,275.30, 596,168.10 and 219,909.60 is: 330,005.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,275.30 : 596,168.10 = 219,909.60 : x
  2. Step 2: Convert to fraction form
    397,275.30/596,168.10 = 219,909.60/x
  3. Step 3: Cross multiply
    397,275.30x = 596,168.10 × 219,909.60
  4. Step 4: Simplify right side
    397,275.30x = 131,103,088,403.76
  5. Step 5: Solve for x
    x = 131,103,088,403.76/397,275.30
  6. Step 6: Final answer
    x = 330,005.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.