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Finding the Fourth Proportional to 617,051.46, 925,518.87 and 196,253.22

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Solution

The fourth proportional to 617,051.46, 925,518.87 and 196,253.22 is: 294,361.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,051.46 : 925,518.87 = 196,253.22 : x
  2. Step 2: Convert to fraction form
    617,051.46/925,518.87 = 196,253.22/x
  3. Step 3: Cross multiply
    617,051.46x = 925,518.87 × 196,253.22
  4. Step 4: Simplify right side
    617,051.46x = 181,636,058,408.26
  5. Step 5: Solve for x
    x = 181,636,058,408.26/617,051.46
  6. Step 6: Final answer
    x = 294,361.28

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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.