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Finding the Fourth Proportional to 312,844.44, 469,334.98 and 113,143.98

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Solution

The fourth proportional to 312,844.44, 469,334.98 and 113,143.98 is: 169,740.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,844.44 : 469,334.98 = 113,143.98 : x
  2. Step 2: Convert to fraction form
    312,844.44/469,334.98 = 113,143.98/x
  3. Step 3: Cross multiply
    312,844.44x = 469,334.98 × 113,143.98
  4. Step 4: Simplify right side
    312,844.44x = 53,102,427,590.42
  5. Step 5: Solve for x
    x = 53,102,427,590.42/312,844.44
  6. Step 6: Final answer
    x = 169,740.68

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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.