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Finding the Fourth Proportional to 377,612.64, 566,022.24 and 190,231.20

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Solution

The fourth proportional to 377,612.64, 566,022.24 and 190,231.20 is: 285,146.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,612.64 : 566,022.24 = 190,231.20 : x
  2. Step 2: Convert to fraction form
    377,612.64/566,022.24 = 190,231.20/x
  3. Step 3: Cross multiply
    377,612.64x = 566,022.24 × 190,231.20
  4. Step 4: Simplify right side
    377,612.64x = 107,675,089,941.89
  5. Step 5: Solve for x
    x = 107,675,089,941.89/377,612.64
  6. Step 6: Final answer
    x = 285,146.94

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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.