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Finding the Fourth Proportional to 331,383.60, 497,075.40 and 305,722.80

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Solution

The fourth proportional to 331,383.60, 497,075.40 and 305,722.80 is: 458,584.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,383.60 : 497,075.40 = 305,722.80 : x
  2. Step 2: Convert to fraction form
    331,383.60/497,075.40 = 305,722.80/x
  3. Step 3: Cross multiply
    331,383.60x = 497,075.40 × 305,722.80
  4. Step 4: Simplify right side
    331,383.60x = 151,967,283,099.12
  5. Step 5: Solve for x
    x = 151,967,283,099.12/331,383.60
  6. Step 6: Final answer
    x = 458,584.20

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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.