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Finding the Fourth Proportional to 305,358, 421,394.04 and 171,222

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Solution

The fourth proportional to 305,358, 421,394.04 and 171,222 is: 236,286.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,358 : 421,394.04 = 171,222 : x
  2. Step 2: Convert to fraction form
    305,358/421,394.04 = 171,222/x
  3. Step 3: Cross multiply
    305,358x = 421,394.04 × 171,222
  4. Step 4: Simplify right side
    305,358x = 72,151,930,316.88
  5. Step 5: Solve for x
    x = 72,151,930,316.88/305,358
  6. Step 6: Final answer
    x = 236,286.36

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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.