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Finding the Fourth Proportional to 407,940.96, 611,618.34 and 191,677.74

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Solution

The fourth proportional to 407,940.96, 611,618.34 and 191,677.74 is: 287,378.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,940.96 : 611,618.34 = 191,677.74 : x
  2. Step 2: Convert to fraction form
    407,940.96/611,618.34 = 191,677.74/x
  3. Step 3: Cross multiply
    407,940.96x = 611,618.34 × 191,677.74
  4. Step 4: Simplify right side
    407,940.96x = 117,233,621,402.05
  5. Step 5: Solve for x
    x = 117,233,621,402.05/407,940.96
  6. Step 6: Final answer
    x = 287,378.89

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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.