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Finding the Fourth Proportional to 314,408.34, 471,191.85 and 154,238.94

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Solution

The fourth proportional to 314,408.34, 471,191.85 and 154,238.94 is: 231,152.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,408.34 : 471,191.85 = 154,238.94 : x
  2. Step 2: Convert to fraction form
    314,408.34/471,191.85 = 154,238.94/x
  3. Step 3: Cross multiply
    314,408.34x = 471,191.85 × 154,238.94
  4. Step 4: Simplify right side
    314,408.34x = 72,676,131,480.64
  5. Step 5: Solve for x
    x = 72,676,131,480.64/314,408.34
  6. Step 6: Final answer
    x = 231,152.05

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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.