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Finding the Fourth Proportional to 465,548.36, 642,438.66 and 284,563.32

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Solution

The fourth proportional to 465,548.36, 642,438.66 and 284,563.32 is: 392,686.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,548.36 : 642,438.66 = 284,563.32 : x
  2. Step 2: Convert to fraction form
    465,548.36/642,438.66 = 284,563.32/x
  3. Step 3: Cross multiply
    465,548.36x = 642,438.66 × 284,563.32
  4. Step 4: Simplify right side
    465,548.36x = 182,814,477,985.95
  5. Step 5: Solve for x
    x = 182,814,477,985.95/465,548.36
  6. Step 6: Final answer
    x = 392,686.33

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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.