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Finding the Fourth Proportional to 590,098.41, 885,144.69 and 509,892.33

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Solution

The fourth proportional to 590,098.41, 885,144.69 and 509,892.33 is: 764,835.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,098.41 : 885,144.69 = 509,892.33 : x
  2. Step 2: Convert to fraction form
    590,098.41/885,144.69 = 509,892.33/x
  3. Step 3: Cross multiply
    590,098.41x = 885,144.69 × 509,892.33
  4. Step 4: Simplify right side
    590,098.41x = 451,328,488,371.23
  5. Step 5: Solve for x
    x = 451,328,488,371.23/590,098.41
  6. Step 6: Final answer
    x = 764,835.97

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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.