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Finding the Fourth Proportional to 259,994.16, 358,444.98 and 206,456.40

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Solution

The fourth proportional to 259,994.16, 358,444.98 and 206,456.40 is: 284,634.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,994.16 : 358,444.98 = 206,456.40 : x
  2. Step 2: Convert to fraction form
    259,994.16/358,444.98 = 206,456.40/x
  3. Step 3: Cross multiply
    259,994.16x = 358,444.98 × 206,456.40
  4. Step 4: Simplify right side
    259,994.16x = 74,003,260,168.87
  5. Step 5: Solve for x
    x = 74,003,260,168.87/259,994.16
  6. Step 6: Final answer
    x = 284,634.32

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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.