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Finding the Fourth Proportional to 396,048.02, 594,106.94 and 111,741.06

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Solution

The fourth proportional to 396,048.02, 594,106.94 and 111,741.06 is: 167,621.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,048.02 : 594,106.94 = 111,741.06 : x
  2. Step 2: Convert to fraction form
    396,048.02/594,106.94 = 111,741.06/x
  3. Step 3: Cross multiply
    396,048.02x = 594,106.94 × 111,741.06
  4. Step 4: Simplify right side
    396,048.02x = 66,386,139,228.96
  5. Step 5: Solve for x
    x = 66,386,139,228.96/396,048.02
  6. Step 6: Final answer
    x = 167,621.44

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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.