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Finding the Fourth Proportional to 601,625.34, 902,438.01 and 285,910.02

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Solution

The fourth proportional to 601,625.34, 902,438.01 and 285,910.02 is: 428,865.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,625.34 : 902,438.01 = 285,910.02 : x
  2. Step 2: Convert to fraction form
    601,625.34/902,438.01 = 285,910.02/x
  3. Step 3: Cross multiply
    601,625.34x = 902,438.01 × 285,910.02
  4. Step 4: Simplify right side
    601,625.34x = 258,016,069,487.86
  5. Step 5: Solve for x
    x = 258,016,069,487.86/601,625.34
  6. Step 6: Final answer
    x = 428,865.03

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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.