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Finding the Fourth Proportional to 415,143, 622,715.10 and 115,624.44

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Solution

The fourth proportional to 415,143, 622,715.10 and 115,624.44 is: 173,436.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,143 : 622,715.10 = 115,624.44 : x
  2. Step 2: Convert to fraction form
    415,143/622,715.10 = 115,624.44/x
  3. Step 3: Cross multiply
    415,143x = 622,715.10 × 115,624.44
  4. Step 4: Simplify right side
    415,143x = 72,001,084,717.04
  5. Step 5: Solve for x
    x = 72,001,084,717.04/415,143
  6. Step 6: Final answer
    x = 173,436.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.