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Finding the Fourth Proportional to 306,692.60, 460,057.27 and 96,330.53

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Solution

The fourth proportional to 306,692.60, 460,057.27 and 96,330.53 is: 144,501.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,692.60 : 460,057.27 = 96,330.53 : x
  2. Step 2: Convert to fraction form
    306,692.60/460,057.27 = 96,330.53/x
  3. Step 3: Cross multiply
    306,692.60x = 460,057.27 × 96,330.53
  4. Step 4: Simplify right side
    306,692.60x = 44,317,561,739.39
  5. Step 5: Solve for x
    x = 44,317,561,739.39/306,692.60
  6. Step 6: Final answer
    x = 144,501.57

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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.