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Finding the Fourth Proportional to 334,114.60, 501,164.70 and 222,509.80

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Solution

The fourth proportional to 334,114.60, 501,164.70 and 222,509.80 is: 333,759.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,114.60 : 501,164.70 = 222,509.80 : x
  2. Step 2: Convert to fraction form
    334,114.60/501,164.70 = 222,509.80/x
  3. Step 3: Cross multiply
    334,114.60x = 501,164.70 × 222,509.80
  4. Step 4: Simplify right side
    334,114.60x = 111,514,057,164.06
  5. Step 5: Solve for x
    x = 111,514,057,164.06/334,114.60
  6. Step 6: Final answer
    x = 333,759.91

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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.