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Finding the Fourth Proportional to 299,114.07, 412,777.44 and 164,978.07

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Solution

The fourth proportional to 299,114.07, 412,777.44 and 164,978.07 is: 227,669.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,114.07 : 412,777.44 = 164,978.07 : x
  2. Step 2: Convert to fraction form
    299,114.07/412,777.44 = 164,978.07/x
  3. Step 3: Cross multiply
    299,114.07x = 412,777.44 × 164,978.07
  4. Step 4: Simplify right side
    299,114.07x = 68,099,225,390.74
  5. Step 5: Solve for x
    x = 68,099,225,390.74/299,114.07
  6. Step 6: Final answer
    x = 227,669.75

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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.