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Finding the Fourth Proportional to 465,903.18, 642,093.75 and 338,357.34

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Solution

The fourth proportional to 465,903.18, 642,093.75 and 338,357.34 is: 466,313.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,903.18 : 642,093.75 = 338,357.34 : x
  2. Step 2: Convert to fraction form
    465,903.18/642,093.75 = 338,357.34/x
  3. Step 3: Cross multiply
    465,903.18x = 642,093.75 × 338,357.34
  4. Step 4: Simplify right side
    465,903.18x = 217,257,133,280.63
  5. Step 5: Solve for x
    x = 217,257,133,280.63/465,903.18
  6. Step 6: Final answer
    x = 466,313.91

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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.