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Finding the Fourth Proportional to 301,358, 415,893.48 and 167,222

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Solution

The fourth proportional to 301,358, 415,893.48 and 167,222 is: 230,777.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,358 : 415,893.48 = 167,222 : x
  2. Step 2: Convert to fraction form
    301,358/415,893.48 = 167,222/x
  3. Step 3: Cross multiply
    301,358x = 415,893.48 × 167,222
  4. Step 4: Simplify right side
    301,358x = 69,546,539,512.56
  5. Step 5: Solve for x
    x = 69,546,539,512.56/301,358
  6. Step 6: Final answer
    x = 230,777.15

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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.