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Finding the Fourth Proportional to 295,499.06, 407,798.42 and 166,439.94

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Solution

The fourth proportional to 295,499.06, 407,798.42 and 166,439.94 is: 229,692.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,499.06 : 407,798.42 = 166,439.94 : x
  2. Step 2: Convert to fraction form
    295,499.06/407,798.42 = 166,439.94/x
  3. Step 3: Cross multiply
    295,499.06x = 407,798.42 × 166,439.94
  4. Step 4: Simplify right side
    295,499.06x = 67,873,943,724.70
  5. Step 5: Solve for x
    x = 67,873,943,724.70/295,499.06
  6. Step 6: Final answer
    x = 229,692.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.