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Finding the Fourth Proportional to 463,739, 695,405.94 and 164,120

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Solution

The fourth proportional to 463,739, 695,405.94 and 164,120 is: 246,108.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,739 : 695,405.94 = 164,120 : x
  2. Step 2: Convert to fraction form
    463,739/695,405.94 = 164,120/x
  3. Step 3: Cross multiply
    463,739x = 695,405.94 × 164,120
  4. Step 4: Simplify right side
    463,739x = 114,130,022,872.80
  5. Step 5: Solve for x
    x = 114,130,022,872.80/463,739
  6. Step 6: Final answer
    x = 246,108.31

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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.