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Finding the Fourth Proportional to 488,403.90, 731,621.70 and 328,971.60

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Solution

The fourth proportional to 488,403.90, 731,621.70 and 328,971.60 is: 492,794.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,403.90 : 731,621.70 = 328,971.60 : x
  2. Step 2: Convert to fraction form
    488,403.90/731,621.70 = 328,971.60/x
  3. Step 3: Cross multiply
    488,403.90x = 731,621.70 × 328,971.60
  4. Step 4: Simplify right side
    488,403.90x = 240,682,761,243.72
  5. Step 5: Solve for x
    x = 240,682,761,243.72/488,403.90
  6. Step 6: Final answer
    x = 492,794.51

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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.