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Finding the Fourth Proportional to 309,575.96, 427,033.36 and 194,672.34

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Solution

The fourth proportional to 309,575.96, 427,033.36 and 194,672.34 is: 268,533.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,575.96 : 427,033.36 = 194,672.34 : x
  2. Step 2: Convert to fraction form
    309,575.96/427,033.36 = 194,672.34/x
  3. Step 3: Cross multiply
    309,575.96x = 427,033.36 × 194,672.34
  4. Step 4: Simplify right side
    309,575.96x = 83,131,583,449.26
  5. Step 5: Solve for x
    x = 83,131,583,449.26/309,575.96
  6. Step 6: Final answer
    x = 268,533.72

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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.