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Finding the Fourth Proportional to 434,779, 650,533.38 and 257,369.56

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Solution

The fourth proportional to 434,779, 650,533.38 and 257,369.56 is: 385,086.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,779 : 650,533.38 = 257,369.56 : x
  2. Step 2: Convert to fraction form
    434,779/650,533.38 = 257,369.56/x
  3. Step 3: Cross multiply
    434,779x = 650,533.38 × 257,369.56
  4. Step 4: Simplify right side
    434,779x = 167,427,489,775.91
  5. Step 5: Solve for x
    x = 167,427,489,775.91/434,779
  6. Step 6: Final answer
    x = 385,086.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.