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Finding the Fourth Proportional to 420,022.48, 579,485.64 and 269,202.64

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Solution

The fourth proportional to 420,022.48, 579,485.64 and 269,202.64 is: 371,406.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,022.48 : 579,485.64 = 269,202.64 : x
  2. Step 2: Convert to fraction form
    420,022.48/579,485.64 = 269,202.64/x
  3. Step 3: Cross multiply
    420,022.48x = 579,485.64 × 269,202.64
  4. Step 4: Simplify right side
    420,022.48x = 155,999,064,130.09
  5. Step 5: Solve for x
    x = 155,999,064,130.09/420,022.48
  6. Step 6: Final answer
    x = 371,406.46

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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.