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Finding the Fourth Proportional to 301,812.44, 416,508.06 and 165,837.86

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Solution

The fourth proportional to 301,812.44, 416,508.06 and 165,837.86 is: 228,860.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,812.44 : 416,508.06 = 165,837.86 : x
  2. Step 2: Convert to fraction form
    301,812.44/416,508.06 = 165,837.86/x
  3. Step 3: Cross multiply
    301,812.44x = 416,508.06 × 165,837.86
  4. Step 4: Simplify right side
    301,812.44x = 69,072,805,343.15
  5. Step 5: Solve for x
    x = 69,072,805,343.15/301,812.44
  6. Step 6: Final answer
    x = 228,860.03

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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.