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Finding the Fourth Proportional to 430,221.65, 645,327 and 193,396.91

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Solution

The fourth proportional to 430,221.65, 645,327 and 193,396.91 is: 290,092.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,221.65 : 645,327 = 193,396.91 : x
  2. Step 2: Convert to fraction form
    430,221.65/645,327 = 193,396.91/x
  3. Step 3: Cross multiply
    430,221.65x = 645,327 × 193,396.91
  4. Step 4: Simplify right side
    430,221.65x = 124,804,244,512.94
  5. Step 5: Solve for x
    x = 124,804,244,512.94/430,221.65
  6. Step 6: Final answer
    x = 290,092.90

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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.