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Finding the Fourth Proportional to 419,511.30, 579,140.19 and 284,260.02

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Solution

The fourth proportional to 419,511.30, 579,140.19 and 284,260.02 is: 392,424.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,511.30 : 579,140.19 = 284,260.02 : x
  2. Step 2: Convert to fraction form
    419,511.30/579,140.19 = 284,260.02/x
  3. Step 3: Cross multiply
    419,511.30x = 579,140.19 × 284,260.02
  4. Step 4: Simplify right side
    419,511.30x = 164,626,401,992.20
  5. Step 5: Solve for x
    x = 164,626,401,992.20/419,511.30
  6. Step 6: Final answer
    x = 392,424.24

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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.