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Finding the Fourth Proportional to 469,538.40, 703,227.60 and 385,557.60

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Solution

The fourth proportional to 469,538.40, 703,227.60 and 385,557.60 is: 577,449.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,538.40 : 703,227.60 = 385,557.60 : x
  2. Step 2: Convert to fraction form
    469,538.40/703,227.60 = 385,557.60/x
  3. Step 3: Cross multiply
    469,538.40x = 703,227.60 × 385,557.60
  4. Step 4: Simplify right side
    469,538.40x = 271,134,745,709.76
  5. Step 5: Solve for x
    x = 271,134,745,709.76/469,538.40
  6. Step 6: Final answer
    x = 577,449.57

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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.