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Finding the Fourth Proportional to 420,355.80, 579,490.07 and 259,103.43

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Solution

The fourth proportional to 420,355.80, 579,490.07 and 259,103.43 is: 357,192.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,355.80 : 579,490.07 = 259,103.43 : x
  2. Step 2: Convert to fraction form
    420,355.80/579,490.07 = 259,103.43/x
  3. Step 3: Cross multiply
    420,355.80x = 579,490.07 × 259,103.43
  4. Step 4: Simplify right side
    420,355.80x = 150,147,863,492.42
  5. Step 5: Solve for x
    x = 150,147,863,492.42/420,355.80
  6. Step 6: Final answer
    x = 357,192.32

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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.