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Finding the Fourth Proportional to 463,983.16, 696,027.32 and 416,305.33

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Solution

The fourth proportional to 463,983.16, 696,027.32 and 416,305.33 is: 624,505.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,983.16 : 696,027.32 = 416,305.33 : x
  2. Step 2: Convert to fraction form
    463,983.16/696,027.32 = 416,305.33/x
  3. Step 3: Cross multiply
    463,983.16x = 696,027.32 × 416,305.33
  4. Step 4: Simplify right side
    463,983.16x = 289,759,883,141.62
  5. Step 5: Solve for x
    x = 289,759,883,141.62/463,983.16
  6. Step 6: Final answer
    x = 624,505.17

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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.