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Finding the Fourth Proportional to 329,076.53, 493,241.64 and 151,216.02

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Solution

The fourth proportional to 329,076.53, 493,241.64 and 151,216.02 is: 226,652.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,076.53 : 493,241.64 = 151,216.02 : x
  2. Step 2: Convert to fraction form
    329,076.53/493,241.64 = 151,216.02/x
  3. Step 3: Cross multiply
    329,076.53x = 493,241.64 × 151,216.02
  4. Step 4: Simplify right side
    329,076.53x = 74,586,038,932.18
  5. Step 5: Solve for x
    x = 74,586,038,932.18/329,076.53
  6. Step 6: Final answer
    x = 226,652.56

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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.