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Finding the Fourth Proportional to 488,713.50, 732,840.20 and 189,334.26

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Solution

The fourth proportional to 488,713.50, 732,840.20 and 189,334.26 is: 283,912.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,713.50 : 732,840.20 = 189,334.26 : x
  2. Step 2: Convert to fraction form
    488,713.50/732,840.20 = 189,334.26/x
  3. Step 3: Cross multiply
    488,713.50x = 732,840.20 × 189,334.26
  4. Step 4: Simplify right side
    488,713.50x = 138,751,756,965.25
  5. Step 5: Solve for x
    x = 138,751,756,965.25/488,713.50
  6. Step 6: Final answer
    x = 283,912.27

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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.