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Finding the Fourth Proportional to 488,607.90, 732,892.66 and 204,225

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Solution

The fourth proportional to 488,607.90, 732,892.66 and 204,225 is: 306,329.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,607.90 : 732,892.66 = 204,225 : x
  2. Step 2: Convert to fraction form
    488,607.90/732,892.66 = 204,225/x
  3. Step 3: Cross multiply
    488,607.90x = 732,892.66 × 204,225
  4. Step 4: Simplify right side
    488,607.90x = 149,675,003,488.50
  5. Step 5: Solve for x
    x = 149,675,003,488.50/488,607.90
  6. Step 6: Final answer
    x = 306,329.48

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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.