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Finding the Fourth Proportional to 333,232.23, 459,859.46 and 180,270.38

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Solution

The fourth proportional to 333,232.23, 459,859.46 and 180,270.38 is: 248,772.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,232.23 : 459,859.46 = 180,270.38 : x
  2. Step 2: Convert to fraction form
    333,232.23/459,859.46 = 180,270.38/x
  3. Step 3: Cross multiply
    333,232.23x = 459,859.46 × 180,270.38
  4. Step 4: Simplify right side
    333,232.23x = 82,899,039,600.79
  5. Step 5: Solve for x
    x = 82,899,039,600.79/333,232.23
  6. Step 6: Final answer
    x = 248,772.57

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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.