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Finding the Fourth Proportional to 414,445.86, 619,309.38 and 311,190

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Solution

The fourth proportional to 414,445.86, 619,309.38 and 311,190 is: 465,013.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,445.86 : 619,309.38 = 311,190 : x
  2. Step 2: Convert to fraction form
    414,445.86/619,309.38 = 311,190/x
  3. Step 3: Cross multiply
    414,445.86x = 619,309.38 × 311,190
  4. Step 4: Simplify right side
    414,445.86x = 192,722,885,962.20
  5. Step 5: Solve for x
    x = 192,722,885,962.20/414,445.86
  6. Step 6: Final answer
    x = 465,013.42

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.