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Finding the Fourth Proportional to 264,807.31, 365,487.15 and 157,356.56

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Solution

The fourth proportional to 264,807.31, 365,487.15 and 157,356.56 is: 217,183.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,807.31 : 365,487.15 = 157,356.56 : x
  2. Step 2: Convert to fraction form
    264,807.31/365,487.15 = 157,356.56/x
  3. Step 3: Cross multiply
    264,807.31x = 365,487.15 × 157,356.56
  4. Step 4: Simplify right side
    264,807.31x = 57,511,800,648.20
  5. Step 5: Solve for x
    x = 57,511,800,648.20/264,807.31
  6. Step 6: Final answer
    x = 217,183.58

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1.5x scale

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.