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Finding the Fourth Proportional to 601,850.82, 902,863.72 and 321,214.98

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Solution

The fourth proportional to 601,850.82, 902,863.72 and 321,214.98 is: 481,869.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,850.82 : 902,863.72 = 321,214.98 : x
  2. Step 2: Convert to fraction form
    601,850.82/902,863.72 = 321,214.98/x
  3. Step 3: Cross multiply
    601,850.82x = 902,863.72 × 321,214.98
  4. Step 4: Simplify right side
    601,850.82x = 290,013,351,762.53
  5. Step 5: Solve for x
    x = 290,013,351,762.53/601,850.82
  6. Step 6: Final answer
    x = 481,869.16

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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.