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Finding the Fourth Proportional to 295,635.71, 407,977.67 and 168,311.30

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Solution

The fourth proportional to 295,635.71, 407,977.67 and 168,311.30 is: 232,269.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,635.71 : 407,977.67 = 168,311.30 : x
  2. Step 2: Convert to fraction form
    295,635.71/407,977.67 = 168,311.30/x
  3. Step 3: Cross multiply
    295,635.71x = 407,977.67 × 168,311.30
  4. Step 4: Simplify right side
    295,635.71x = 68,667,252,008.67
  5. Step 5: Solve for x
    x = 68,667,252,008.67/295,635.71
  6. Step 6: Final answer
    x = 232,269.82

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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.