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Finding the Fourth Proportional to 329,108.32, 493,289.27 and 151,247.78

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Solution

The fourth proportional to 329,108.32, 493,289.27 and 151,247.78 is: 226,700.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,108.32 : 493,289.27 = 151,247.78 : x
  2. Step 2: Convert to fraction form
    329,108.32/493,289.27 = 151,247.78/x
  3. Step 3: Cross multiply
    329,108.32x = 493,289.27 × 151,247.78
  4. Step 4: Simplify right side
    329,108.32x = 74,608,903,762.64
  5. Step 5: Solve for x
    x = 74,608,903,762.64/329,108.32
  6. Step 6: Final answer
    x = 226,700.15

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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.