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Finding the Fourth Proportional to 601,899.30, 902,586.47 and 227,659.86

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Solution

The fourth proportional to 601,899.30, 902,586.47 and 227,659.86 is: 341,390.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,899.30 : 902,586.47 = 227,659.86 : x
  2. Step 2: Convert to fraction form
    601,899.30/902,586.47 = 227,659.86/x
  3. Step 3: Cross multiply
    601,899.30x = 902,586.47 × 227,659.86
  4. Step 4: Simplify right side
    601,899.30x = 205,482,709,398.09
  5. Step 5: Solve for x
    x = 205,482,709,398.09/601,899.30
  6. Step 6: Final answer
    x = 341,390.51

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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.