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Finding the Fourth Proportional to 299,034.76, 412,664.70 and 163,068.28

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Solution

The fourth proportional to 299,034.76, 412,664.70 and 163,068.28 is: 225,032.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,034.76 : 412,664.70 = 163,068.28 : x
  2. Step 2: Convert to fraction form
    299,034.76/412,664.70 = 163,068.28/x
  3. Step 3: Cross multiply
    299,034.76x = 412,664.70 × 163,068.28
  4. Step 4: Simplify right side
    299,034.76x = 67,292,522,845.72
  5. Step 5: Solve for x
    x = 67,292,522,845.72/299,034.76
  6. Step 6: Final answer
    x = 225,032.44

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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.