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Finding the Fourth Proportional to 301,374, 415,915.60 and 167,238

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Solution

The fourth proportional to 301,374, 415,915.60 and 167,238 is: 230,799.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,374 : 415,915.60 = 167,238 : x
  2. Step 2: Convert to fraction form
    301,374/415,915.60 = 167,238/x
  3. Step 3: Cross multiply
    301,374x = 415,915.60 × 167,238
  4. Step 4: Simplify right side
    301,374x = 69,556,893,112.80
  5. Step 5: Solve for x
    x = 69,556,893,112.80/301,374
  6. Step 6: Final answer
    x = 230,799.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.