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Finding the Fourth Proportional to 610,865.40, 842,954.13 and 338,932.56

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Solution

The fourth proportional to 610,865.40, 842,954.13 and 338,932.56 is: 467,704.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,865.40 : 842,954.13 = 338,932.56 : x
  2. Step 2: Convert to fraction form
    610,865.40/842,954.13 = 338,932.56/x
  3. Step 3: Cross multiply
    610,865.40x = 842,954.13 × 338,932.56
  4. Step 4: Simplify right side
    610,865.40x = 285,704,601,243.47
  5. Step 5: Solve for x
    x = 285,704,601,243.47/610,865.40
  6. Step 6: Final answer
    x = 467,704.67

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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.