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Finding the Fourth Proportional to 293,808, 440,781.12 and 96,816

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Solution

The fourth proportional to 293,808, 440,781.12 and 96,816 is: 145,246.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,808 : 440,781.12 = 96,816 : x
  2. Step 2: Convert to fraction form
    293,808/440,781.12 = 96,816/x
  3. Step 3: Cross multiply
    293,808x = 440,781.12 × 96,816
  4. Step 4: Simplify right side
    293,808x = 42,674,664,913.92
  5. Step 5: Solve for x
    x = 42,674,664,913.92/293,808
  6. Step 6: Final answer
    x = 145,246.78

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Why These Related Problems?

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