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Finding the Fourth Proportional to 312,164.30, 430,806.26 and 176,221.28

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Solution

The fourth proportional to 312,164.30, 430,806.26 and 176,221.28 is: 243,196.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,164.30 : 430,806.26 = 176,221.28 : x
  2. Step 2: Convert to fraction form
    312,164.30/430,806.26 = 176,221.28/x
  3. Step 3: Cross multiply
    312,164.30x = 430,806.26 × 176,221.28
  4. Step 4: Simplify right side
    312,164.30x = 75,917,230,569.21
  5. Step 5: Solve for x
    x = 75,917,230,569.21/312,164.30
  6. Step 6: Final answer
    x = 243,196.39

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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.