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Finding the Fourth Proportional to 488,408.40, 732,029.40 and 204,098.40

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Solution

The fourth proportional to 488,408.40, 732,029.40 and 204,098.40 is: 305,903.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,408.40 : 732,029.40 = 204,098.40 : x
  2. Step 2: Convert to fraction form
    488,408.40/732,029.40 = 204,098.40/x
  3. Step 3: Cross multiply
    488,408.40x = 732,029.40 × 204,098.40
  4. Step 4: Simplify right side
    488,408.40x = 149,406,029,292.96
  5. Step 5: Solve for x
    x = 149,406,029,292.96/488,408.40
  6. Step 6: Final answer
    x = 305,903.89

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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.