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Finding the Fourth Proportional to 488,602.40, 732,884.42 and 204,219.50

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Solution

The fourth proportional to 488,602.40, 732,884.42 and 204,219.50 is: 306,321.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,602.40 : 732,884.42 = 204,219.50 : x
  2. Step 2: Convert to fraction form
    488,602.40/732,884.42 = 204,219.50/x
  3. Step 3: Cross multiply
    488,602.40x = 732,884.42 × 204,219.50
  4. Step 4: Simplify right side
    488,602.40x = 149,669,286,656.32
  5. Step 5: Solve for x
    x = 149,669,286,656.32/488,602.40
  6. Step 6: Final answer
    x = 306,321.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.