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Finding the Fourth Proportional to 399,491.38, 598,072.50 and 209,501.23

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Solution

The fourth proportional to 399,491.38, 598,072.50 and 209,501.23 is: 313,641.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,491.38 : 598,072.50 = 209,501.23 : x
  2. Step 2: Convert to fraction form
    399,491.38/598,072.50 = 209,501.23/x
  3. Step 3: Cross multiply
    399,491.38x = 598,072.50 × 209,501.23
  4. Step 4: Simplify right side
    399,491.38x = 125,296,924,379.18
  5. Step 5: Solve for x
    x = 125,296,924,379.18/399,491.38
  6. Step 6: Final answer
    x = 313,641.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.