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Finding the Fourth Proportional to 458,783.34, 688,181.93 and 159,273.44

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Solution

The fourth proportional to 458,783.34, 688,181.93 and 159,273.44 is: 238,912.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,783.34 : 688,181.93 = 159,273.44 : x
  2. Step 2: Convert to fraction form
    458,783.34/688,181.93 = 159,273.44/x
  3. Step 3: Cross multiply
    458,783.34x = 688,181.93 × 159,273.44
  4. Step 4: Simplify right side
    458,783.34x = 109,609,103,173.53
  5. Step 5: Solve for x
    x = 109,609,103,173.53/458,783.34
  6. Step 6: Final answer
    x = 238,912.56

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Why These Related Problems?

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