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Finding the Fourth Proportional to 326,692.85, 490,057.70 and 116,330.78

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Solution

The fourth proportional to 326,692.85, 490,057.70 and 116,330.78 is: 174,502.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,692.85 : 490,057.70 = 116,330.78 : x
  2. Step 2: Convert to fraction form
    326,692.85/490,057.70 = 116,330.78/x
  3. Step 3: Cross multiply
    326,692.85x = 490,057.70 × 116,330.78
  4. Step 4: Simplify right side
    326,692.85x = 57,008,795,129.50
  5. Step 5: Solve for x
    x = 57,008,795,129.50/326,692.85
  6. Step 6: Final answer
    x = 174,502.74

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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.