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Finding the Fourth Proportional to 797,392.17, 1,196,088.21 and 206,416.17

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Solution

The fourth proportional to 797,392.17, 1,196,088.21 and 206,416.17 is: 309,624.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    797,392.17 : 1,196,088.21 = 206,416.17 : x
  2. Step 2: Convert to fraction form
    797,392.17/1,196,088.21 = 206,416.17/x
  3. Step 3: Cross multiply
    797,392.17x = 1,196,088.21 × 206,416.17
  4. Step 4: Simplify right side
    797,392.17x = 246,891,947,290.36
  5. Step 5: Solve for x
    x = 246,891,947,290.36/797,392.17
  6. Step 6: Final answer
    x = 309,624.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.