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Finding the Fourth Proportional to 601,610.36, 902,405.91 and 146,205.27

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Solution

The fourth proportional to 601,610.36, 902,405.91 and 146,205.27 is: 219,305.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,610.36 : 902,405.91 = 146,205.27 : x
  2. Step 2: Convert to fraction form
    601,610.36/902,405.91 = 146,205.27/x
  3. Step 3: Cross multiply
    601,610.36x = 902,405.91 × 146,205.27
  4. Step 4: Simplify right side
    601,610.36x = 131,936,500,269.42
  5. Step 5: Solve for x
    x = 131,936,500,269.42/601,610.36
  6. Step 6: Final answer
    x = 219,305.57

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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.