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Finding the Fourth Proportional to 299,025.49, 412,649.08 and 164,889.49

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Solution

The fourth proportional to 299,025.49, 412,649.08 and 164,889.49 is: 227,544.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,025.49 : 412,649.08 = 164,889.49 : x
  2. Step 2: Convert to fraction form
    299,025.49/412,649.08 = 164,889.49/x
  3. Step 3: Cross multiply
    299,025.49x = 412,649.08 × 164,889.49
  4. Step 4: Simplify right side
    299,025.49x = 68,041,496,350.17
  5. Step 5: Solve for x
    x = 68,041,496,350.17/299,025.49
  6. Step 6: Final answer
    x = 227,544.13

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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.