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Finding the Fourth Proportional to 463,145.10, 694,389.60 and 210,546.60

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Solution

The fourth proportional to 463,145.10, 694,389.60 and 210,546.60 is: 315,670.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,145.10 : 694,389.60 = 210,546.60 : x
  2. Step 2: Convert to fraction form
    463,145.10/694,389.60 = 210,546.60/x
  3. Step 3: Cross multiply
    463,145.10x = 694,389.60 × 210,546.60
  4. Step 4: Simplify right side
    463,145.10x = 146,201,369,355.36
  5. Step 5: Solve for x
    x = 146,201,369,355.36/463,145.10
  6. Step 6: Final answer
    x = 315,670.77

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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.