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Finding the Fourth Proportional to 407,254.50, 610,898.22 and 193,912.65

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Solution

The fourth proportional to 407,254.50, 610,898.22 and 193,912.65 is: 290,876.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,254.50 : 610,898.22 = 193,912.65 : x
  2. Step 2: Convert to fraction form
    407,254.50/610,898.22 = 193,912.65/x
  3. Step 3: Cross multiply
    407,254.50x = 610,898.22 × 193,912.65
  4. Step 4: Simplify right side
    407,254.50x = 118,460,892,720.48
  5. Step 5: Solve for x
    x = 118,460,892,720.48/407,254.50
  6. Step 6: Final answer
    x = 290,876.82

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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.