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Finding the Fourth Proportional to 291,844.80, 437,767.20 and 167,428.80

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Solution

The fourth proportional to 291,844.80, 437,767.20 and 167,428.80 is: 251,143.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,844.80 : 437,767.20 = 167,428.80 : x
  2. Step 2: Convert to fraction form
    291,844.80/437,767.20 = 167,428.80/x
  3. Step 3: Cross multiply
    291,844.80x = 437,767.20 × 167,428.80
  4. Step 4: Simplify right side
    291,844.80x = 73,294,836,975.36
  5. Step 5: Solve for x
    x = 73,294,836,975.36/291,844.80
  6. Step 6: Final answer
    x = 251,143.20

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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.