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Finding the Fourth Proportional to 295,780.29, 408,153.64 and 168,431.01

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Solution

The fourth proportional to 295,780.29, 408,153.64 and 168,431.01 is: 232,421.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,780.29 : 408,153.64 = 168,431.01 : x
  2. Step 2: Convert to fraction form
    295,780.29/408,153.64 = 168,431.01/x
  3. Step 3: Cross multiply
    295,780.29x = 408,153.64 × 168,431.01
  4. Step 4: Simplify right side
    295,780.29x = 68,745,729,820.38
  5. Step 5: Solve for x
    x = 68,745,729,820.38/295,780.29
  6. Step 6: Final answer
    x = 232,421.61

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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.