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Finding the Fourth Proportional to 295,609.95, 407,942.12 and 168,285.38

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Solution

The fourth proportional to 295,609.95, 407,942.12 and 168,285.38 is: 232,234.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,609.95 : 407,942.12 = 168,285.38 : x
  2. Step 2: Convert to fraction form
    295,609.95/407,942.12 = 168,285.38/x
  3. Step 3: Cross multiply
    295,609.95x = 407,942.12 × 168,285.38
  4. Step 4: Simplify right side
    295,609.95x = 68,650,693,063.21
  5. Step 5: Solve for x
    x = 68,650,693,063.21/295,609.95
  6. Step 6: Final answer
    x = 232,234.04

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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.