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Finding the Fourth Proportional to 301,375, 415,916.98 and 167,239

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Solution

The fourth proportional to 301,375, 415,916.98 and 167,239 is: 230,800.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,375 : 415,916.98 = 167,239 : x
  2. Step 2: Convert to fraction form
    301,375/415,916.98 = 167,239/x
  3. Step 3: Cross multiply
    301,375x = 415,916.98 × 167,239
  4. Step 4: Simplify right side
    301,375x = 69,557,539,818.22
  5. Step 5: Solve for x
    x = 69,557,539,818.22/301,375
  6. Step 6: Final answer
    x = 230,800.63

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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.