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Finding the Fourth Proportional to 462,669.68, 638,485.86 and 269,123.82

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Solution

The fourth proportional to 462,669.68, 638,485.86 and 269,123.82 is: 371,391.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,669.68 : 638,485.86 = 269,123.82 : x
  2. Step 2: Convert to fraction form
    462,669.68/638,485.86 = 269,123.82/x
  3. Step 3: Cross multiply
    462,669.68x = 638,485.86 × 269,123.82
  4. Step 4: Simplify right side
    462,669.68x = 171,831,753,659.19
  5. Step 5: Solve for x
    x = 171,831,753,659.19/462,669.68
  6. Step 6: Final answer
    x = 371,391.87

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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.