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Finding the Fourth Proportional to 377,408.60, 566,196.06 and 164,209.98

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Solution

The fourth proportional to 377,408.60, 566,196.06 and 164,209.98 is: 246,351.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,408.60 : 566,196.06 = 164,209.98 : x
  2. Step 2: Convert to fraction form
    377,408.60/566,196.06 = 164,209.98/x
  3. Step 3: Cross multiply
    377,408.60x = 566,196.06 × 164,209.98
  4. Step 4: Simplify right side
    377,408.60x = 92,975,042,867.63
  5. Step 5: Solve for x
    x = 92,975,042,867.63/377,408.60
  6. Step 6: Final answer
    x = 246,351.15

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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.