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Finding the Fourth Proportional to 353,072.70, 487,192.23 and 209,780.46

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Solution

The fourth proportional to 353,072.70, 487,192.23 and 209,780.46 is: 289,468.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,072.70 : 487,192.23 = 209,780.46 : x
  2. Step 2: Convert to fraction form
    353,072.70/487,192.23 = 209,780.46/x
  3. Step 3: Cross multiply
    353,072.70x = 487,192.23 × 209,780.46
  4. Step 4: Simplify right side
    353,072.70x = 102,203,410,117.83
  5. Step 5: Solve for x
    x = 102,203,410,117.83/353,072.70
  6. Step 6: Final answer
    x = 289,468.46

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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.