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Finding the Fourth Proportional to 232,771.84, 349,150.85 and 64,302.30

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Solution

The fourth proportional to 232,771.84, 349,150.85 and 64,302.30 is: 96,451.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,771.84 : 349,150.85 = 64,302.30 : x
  2. Step 2: Convert to fraction form
    232,771.84/349,150.85 = 64,302.30/x
  3. Step 3: Cross multiply
    232,771.84x = 349,150.85 × 64,302.30
  4. Step 4: Simplify right side
    232,771.84x = 22,451,202,701.96
  5. Step 5: Solve for x
    x = 22,451,202,701.96/232,771.84
  6. Step 6: Final answer
    x = 96,451.54

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1.5x scale

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.