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Finding the Fourth Proportional to 423,223.98, 635,014.02 and 263,433.54

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Solution

The fourth proportional to 423,223.98, 635,014.02 and 263,433.54 is: 395,261.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,223.98 : 635,014.02 = 263,433.54 : x
  2. Step 2: Convert to fraction form
    423,223.98/635,014.02 = 263,433.54/x
  3. Step 3: Cross multiply
    423,223.98x = 635,014.02 × 263,433.54
  4. Step 4: Simplify right side
    423,223.98x = 167,283,991,238.23
  5. Step 5: Solve for x
    x = 167,283,991,238.23/423,223.98
  6. Step 6: Final answer
    x = 395,261.14

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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.