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Finding the Fourth Proportional to 309,451, 427,182.27 and 194,898

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Solution

The fourth proportional to 309,451, 427,182.27 and 194,898 is: 269,047.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,451 : 427,182.27 = 194,898 : x
  2. Step 2: Convert to fraction form
    309,451/427,182.27 = 194,898/x
  3. Step 3: Cross multiply
    309,451x = 427,182.27 × 194,898
  4. Step 4: Simplify right side
    309,451x = 83,256,970,058.46
  5. Step 5: Solve for x
    x = 83,256,970,058.46/309,451
  6. Step 6: Final answer
    x = 269,047.35

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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.