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Finding the Fourth Proportional to 463,410.30, 695,115.45 and 164,228.70

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Solution

The fourth proportional to 463,410.30, 695,115.45 and 164,228.70 is: 246,343.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,410.30 : 695,115.45 = 164,228.70 : x
  2. Step 2: Convert to fraction form
    463,410.30/695,115.45 = 164,228.70/x
  3. Step 3: Cross multiply
    463,410.30x = 695,115.45 × 164,228.70
  4. Step 4: Simplify right side
    463,410.30x = 114,157,906,703.42
  5. Step 5: Solve for x
    x = 114,157,906,703.42/463,410.30
  6. Step 6: Final answer
    x = 246,343.05

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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.