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Finding the Fourth Proportional to 333,463.96, 460,008.06 and 225,997.24

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Solution

The fourth proportional to 333,463.96, 460,008.06 and 225,997.24 is: 311,759.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,463.96 : 460,008.06 = 225,997.24 : x
  2. Step 2: Convert to fraction form
    333,463.96/460,008.06 = 225,997.24/x
  3. Step 3: Cross multiply
    333,463.96x = 460,008.06 × 225,997.24
  4. Step 4: Simplify right side
    333,463.96x = 103,960,551,937.75
  5. Step 5: Solve for x
    x = 103,960,551,937.75/333,463.96
  6. Step 6: Final answer
    x = 311,759.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.