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Finding the Fourth Proportional to 333,185.70, 459,796.30 and 180,223.82

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Solution

The fourth proportional to 333,185.70, 459,796.30 and 180,223.82 is: 248,708.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,185.70 : 459,796.30 = 180,223.82 : x
  2. Step 2: Convert to fraction form
    333,185.70/459,796.30 = 180,223.82/x
  3. Step 3: Cross multiply
    333,185.70x = 459,796.30 × 180,223.82
  4. Step 4: Simplify right side
    333,185.70x = 82,866,245,607.87
  5. Step 5: Solve for x
    x = 82,866,245,607.87/333,185.70
  6. Step 6: Final answer
    x = 248,708.89

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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.