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Finding the Fourth Proportional to 488,691.84, 733,152.48 and 151,715.28

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Solution

The fourth proportional to 488,691.84, 733,152.48 and 151,715.28 is: 227,608.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,691.84 : 733,152.48 = 151,715.28 : x
  2. Step 2: Convert to fraction form
    488,691.84/733,152.48 = 151,715.28/x
  3. Step 3: Cross multiply
    488,691.84x = 733,152.48 × 151,715.28
  4. Step 4: Simplify right side
    488,691.84x = 111,230,433,785.89
  5. Step 5: Solve for x
    x = 111,230,433,785.89/488,691.84
  6. Step 6: Final answer
    x = 227,608.54

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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.