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Finding the Fourth Proportional to 416,235.20, 624,289.44 and 135,752

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Solution

The fourth proportional to 416,235.20, 624,289.44 and 135,752 is: 203,607.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,235.20 : 624,289.44 = 135,752 : x
  2. Step 2: Convert to fraction form
    416,235.20/624,289.44 = 135,752/x
  3. Step 3: Cross multiply
    416,235.20x = 624,289.44 × 135,752
  4. Step 4: Simplify right side
    416,235.20x = 84,748,540,058.88
  5. Step 5: Solve for x
    x = 84,748,540,058.88/416,235.20
  6. Step 6: Final answer
    x = 203,607.34

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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.