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Finding the Fourth Proportional to 300,869.78, 415,145.86 and 193,415.18

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Solution

The fourth proportional to 300,869.78, 415,145.86 and 193,415.18 is: 266,877.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,869.78 : 415,145.86 = 193,415.18 : x
  2. Step 2: Convert to fraction form
    300,869.78/415,145.86 = 193,415.18/x
  3. Step 3: Cross multiply
    300,869.78x = 415,145.86 × 193,415.18
  4. Step 4: Simplify right side
    300,869.78x = 80,295,508,678.89
  5. Step 5: Solve for x
    x = 80,295,508,678.89/300,869.78
  6. Step 6: Final answer
    x = 266,877.95

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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.