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Finding the Fourth Proportional to 341,965, 471,897.66 and 198,723.88

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Solution

The fourth proportional to 341,965, 471,897.66 and 198,723.88 is: 274,230.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,965 : 471,897.66 = 198,723.88 : x
  2. Step 2: Convert to fraction form
    341,965/471,897.66 = 198,723.88/x
  3. Step 3: Cross multiply
    341,965x = 471,897.66 × 198,723.88
  4. Step 4: Simplify right side
    341,965x = 93,777,333,958.12
  5. Step 5: Solve for x
    x = 93,777,333,958.12/341,965
  6. Step 6: Final answer
    x = 274,230.80

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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.