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Finding the Fourth Proportional to 463,490.80, 695,236.20 and 164,309.20

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Solution

The fourth proportional to 463,490.80, 695,236.20 and 164,309.20 is: 246,463.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,490.80 : 695,236.20 = 164,309.20 : x
  2. Step 2: Convert to fraction form
    463,490.80/695,236.20 = 164,309.20/x
  3. Step 3: Cross multiply
    463,490.80x = 695,236.20 × 164,309.20
  4. Step 4: Simplify right side
    463,490.80x = 114,233,703,833.04
  5. Step 5: Solve for x
    x = 114,233,703,833.04/463,490.80
  6. Step 6: Final answer
    x = 246,463.80

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Similar ratio
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1.5x scale

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.