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Finding the Fourth Proportional to 312,833, 431,706.97 and 169,589.36

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Solution

The fourth proportional to 312,833, 431,706.97 and 169,589.36 is: 234,031.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,833 : 431,706.97 = 169,589.36 : x
  2. Step 2: Convert to fraction form
    312,833/431,706.97 = 169,589.36/x
  3. Step 3: Cross multiply
    312,833x = 431,706.97 × 169,589.36
  4. Step 4: Simplify right side
    312,833x = 73,212,908,749.84
  5. Step 5: Solve for x
    x = 73,212,908,749.84/312,833
  6. Step 6: Final answer
    x = 234,031.92

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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.