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Finding the Fourth Proportional to 488,602.28, 733,000.29 and 151,628.55

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Solution

The fourth proportional to 488,602.28, 733,000.29 and 151,628.55 is: 227,472.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,602.28 : 733,000.29 = 151,628.55 : x
  2. Step 2: Convert to fraction form
    488,602.28/733,000.29 = 151,628.55/x
  3. Step 3: Cross multiply
    488,602.28x = 733,000.29 × 151,628.55
  4. Step 4: Simplify right side
    488,602.28x = 111,143,771,122.28
  5. Step 5: Solve for x
    x = 111,143,771,122.28/488,602.28
  6. Step 6: Final answer
    x = 227,472.89

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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.