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Finding the Fourth Proportional to 333,320.44, 459,980.72 and 180,361.33

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Solution

The fourth proportional to 333,320.44, 459,980.72 and 180,361.33 is: 248,897.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,320.44 : 459,980.72 = 180,361.33 : x
  2. Step 2: Convert to fraction form
    333,320.44/459,980.72 = 180,361.33/x
  3. Step 3: Cross multiply
    333,320.44x = 459,980.72 × 180,361.33
  4. Step 4: Simplify right side
    333,320.44x = 82,962,734,433.56
  5. Step 5: Solve for x
    x = 82,962,734,433.56/333,320.44
  6. Step 6: Final answer
    x = 248,897.83

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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.