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Finding the Fourth Proportional to 488,402.40, 732,020.40 and 204,092.40

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Solution

The fourth proportional to 488,402.40, 732,020.40 and 204,092.40 is: 305,894.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,402.40 : 732,020.40 = 204,092.40 : x
  2. Step 2: Convert to fraction form
    488,402.40/732,020.40 = 204,092.40/x
  3. Step 3: Cross multiply
    488,402.40x = 732,020.40 × 204,092.40
  4. Step 4: Simplify right side
    488,402.40x = 149,399,800,284.96
  5. Step 5: Solve for x
    x = 149,399,800,284.96/488,402.40
  6. Step 6: Final answer
    x = 305,894.89

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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.