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Finding the Fourth Proportional to 299,037.30, 412,672.77 and 178,239.30

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Solution

The fourth proportional to 299,037.30, 412,672.77 and 178,239.30 is: 245,971.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,037.30 : 412,672.77 = 178,239.30 : x
  2. Step 2: Convert to fraction form
    299,037.30/412,672.77 = 178,239.30/x
  3. Step 3: Cross multiply
    299,037.30x = 412,672.77 × 178,239.30
  4. Step 4: Simplify right side
    299,037.30x = 73,554,505,653.86
  5. Step 5: Solve for x
    x = 73,554,505,653.86/299,037.30
  6. Step 6: Final answer
    x = 245,971.01

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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.