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Finding the Fourth Proportional to 299,321.78, 412,955.73 and 230,432.27

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Solution

The fourth proportional to 299,321.78, 412,955.73 and 230,432.27 is: 317,913.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,321.78 : 412,955.73 = 230,432.27 : x
  2. Step 2: Convert to fraction form
    299,321.78/412,955.73 = 230,432.27/x
  3. Step 3: Cross multiply
    299,321.78x = 412,955.73 × 230,432.27
  4. Step 4: Simplify right side
    299,321.78x = 95,158,326,273.41
  5. Step 5: Solve for x
    x = 95,158,326,273.41/299,321.78
  6. Step 6: Final answer
    x = 317,913.14

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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.