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Finding the Fourth Proportional to 299,111, 412,758.60 and 178,249.52

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Solution

The fourth proportional to 299,111, 412,758.60 and 178,249.52 is: 245,975.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,111 : 412,758.60 = 178,249.52 : x
  2. Step 2: Convert to fraction form
    299,111/412,758.60 = 178,249.52/x
  3. Step 3: Cross multiply
    299,111x = 412,758.60 × 178,249.52
  4. Step 4: Simplify right side
    299,111x = 73,574,022,325.87
  5. Step 5: Solve for x
    x = 73,574,022,325.87/299,111
  6. Step 6: Final answer
    x = 245,975.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.