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Finding the Fourth Proportional to 488,760.76, 733,255.80 and 151,784.02

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Solution

The fourth proportional to 488,760.76, 733,255.80 and 151,784.02 is: 227,711.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,760.76 : 733,255.80 = 151,784.02 : x
  2. Step 2: Convert to fraction form
    488,760.76/733,255.80 = 151,784.02/x
  3. Step 3: Cross multiply
    488,760.76x = 733,255.80 × 151,784.02
  4. Step 4: Simplify right side
    488,760.76x = 111,296,513,012.32
  5. Step 5: Solve for x
    x = 111,296,513,012.32/488,760.76
  6. Step 6: Final answer
    x = 227,711.64

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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.