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Finding the Fourth Proportional to 299,072.92, 412,673.28 and 178,211.20

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Solution

The fourth proportional to 299,072.92, 412,673.28 and 178,211.20 is: 245,903.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,072.92 : 412,673.28 = 178,211.20 : x
  2. Step 2: Convert to fraction form
    299,072.92/412,673.28 = 178,211.20/x
  3. Step 3: Cross multiply
    299,072.92x = 412,673.28 × 178,211.20
  4. Step 4: Simplify right side
    299,072.92x = 73,543,000,436.74
  5. Step 5: Solve for x
    x = 73,543,000,436.74/299,072.92
  6. Step 6: Final answer
    x = 245,903.24

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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.