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Finding the Fourth Proportional to 475,074.02, 712,108.01 and 222,142.01

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Solution

The fourth proportional to 475,074.02, 712,108.01 and 222,142.01 is: 332,977.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,074.02 : 712,108.01 = 222,142.01 : x
  2. Step 2: Convert to fraction form
    475,074.02/712,108.01 = 222,142.01/x
  3. Step 3: Cross multiply
    475,074.02x = 712,108.01 × 222,142.01
  4. Step 4: Simplify right side
    475,074.02x = 158,189,100,007.25
  5. Step 5: Solve for x
    x = 158,189,100,007.25/475,074.02
  6. Step 6: Final answer
    x = 332,977.80

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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.