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Finding the Fourth Proportional to 301,886.43, 416,608.14 and 172,824.39

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Solution

The fourth proportional to 301,886.43, 416,608.14 and 172,824.39 is: 238,500.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,886.43 : 416,608.14 = 172,824.39 : x
  2. Step 2: Convert to fraction form
    301,886.43/416,608.14 = 172,824.39/x
  3. Step 3: Cross multiply
    301,886.43x = 416,608.14 × 172,824.39
  4. Step 4: Simplify right side
    301,886.43x = 72,000,047,664.53
  5. Step 5: Solve for x
    x = 72,000,047,664.53/301,886.43
  6. Step 6: Final answer
    x = 238,500.44

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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.