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Finding the Fourth Proportional to 488,164.23, 732,439.05 and 151,231.14

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Solution

The fourth proportional to 488,164.23, 732,439.05 and 151,231.14 is: 226,906.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,164.23 : 732,439.05 = 151,231.14 : x
  2. Step 2: Convert to fraction form
    488,164.23/732,439.05 = 151,231.14/x
  3. Step 3: Cross multiply
    488,164.23x = 732,439.05 × 151,231.14
  4. Step 4: Simplify right side
    488,164.23x = 110,767,592,512.02
  5. Step 5: Solve for x
    x = 110,767,592,512.02/488,164.23
  6. Step 6: Final answer
    x = 226,906.41

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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.