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Finding the Fourth Proportional to 379,542.96, 523,802.63 and 209,809.89

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Solution

The fourth proportional to 379,542.96, 523,802.63 and 209,809.89 is: 289,556.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,542.96 : 523,802.63 = 209,809.89 : x
  2. Step 2: Convert to fraction form
    379,542.96/523,802.63 = 209,809.89/x
  3. Step 3: Cross multiply
    379,542.96x = 523,802.63 × 209,809.89
  4. Step 4: Simplify right side
    379,542.96x = 109,898,972,706.54
  5. Step 5: Solve for x
    x = 109,898,972,706.54/379,542.96
  6. Step 6: Final answer
    x = 289,556.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.