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Finding the Fourth Proportional to 308,622.96, 463,710.83 and 196,353.32

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Solution

The fourth proportional to 308,622.96, 463,710.83 and 196,353.32 is: 295,023.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,622.96 : 463,710.83 = 196,353.32 : x
  2. Step 2: Convert to fraction form
    308,622.96/463,710.83 = 196,353.32/x
  3. Step 3: Cross multiply
    308,622.96x = 463,710.83 × 196,353.32
  4. Step 4: Simplify right side
    308,622.96x = 91,051,157,690.13
  5. Step 5: Solve for x
    x = 91,051,157,690.13/308,622.96
  6. Step 6: Final answer
    x = 295,023.93

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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.