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Finding the Fourth Proportional to 488,408.10, 732,575.70 and 204,025.20

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Solution

The fourth proportional to 488,408.10, 732,575.70 and 204,025.20 is: 306,022.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,408.10 : 732,575.70 = 204,025.20 : x
  2. Step 2: Convert to fraction form
    488,408.10/732,575.70 = 204,025.20/x
  3. Step 3: Cross multiply
    488,408.10x = 732,575.70 × 204,025.20
  4. Step 4: Simplify right side
    488,408.10x = 149,463,903,707.64
  5. Step 5: Solve for x
    x = 149,463,903,707.64/488,408.10
  6. Step 6: Final answer
    x = 306,022.57

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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.