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Finding the Fourth Proportional to 463,102.60, 694,751.10 and 143,228.20

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Solution

The fourth proportional to 463,102.60, 694,751.10 and 143,228.20 is: 214,872.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,102.60 : 694,751.10 = 143,228.20 : x
  2. Step 2: Convert to fraction form
    463,102.60/694,751.10 = 143,228.20/x
  3. Step 3: Cross multiply
    463,102.60x = 694,751.10 × 143,228.20
  4. Step 4: Simplify right side
    463,102.60x = 99,507,949,501.02
  5. Step 5: Solve for x
    x = 99,507,949,501.02/463,102.60
  6. Step 6: Final answer
    x = 214,872.36

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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.