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Finding the Fourth Proportional to 463,743, 695,411.92 and 164,124

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Solution

The fourth proportional to 463,743, 695,411.92 and 164,124 is: 246,114.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,743 : 695,411.92 = 164,124 : x
  2. Step 2: Convert to fraction form
    463,743/695,411.92 = 164,124/x
  3. Step 3: Cross multiply
    463,743x = 695,411.92 × 164,124
  4. Step 4: Simplify right side
    463,743x = 114,133,785,958.08
  5. Step 5: Solve for x
    x = 114,133,785,958.08/463,743
  6. Step 6: Final answer
    x = 246,114.30

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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.