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Finding the Fourth Proportional to 295,498.81, 407,798.07 and 166,439.69

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Solution

The fourth proportional to 295,498.81, 407,798.07 and 166,439.69 is: 229,692.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,498.81 : 407,798.07 = 166,439.69 : x
  2. Step 2: Convert to fraction form
    295,498.81/407,798.07 = 166,439.69/x
  3. Step 3: Cross multiply
    295,498.81x = 407,798.07 × 166,439.69
  4. Step 4: Simplify right side
    295,498.81x = 67,873,784,353.40
  5. Step 5: Solve for x
    x = 67,873,784,353.40/295,498.81
  6. Step 6: Final answer
    x = 229,692.25

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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.