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Finding the Fourth Proportional to 299,059.84, 412,702.50 and 164,923.84

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Solution

The fourth proportional to 299,059.84, 412,702.50 and 164,923.84 is: 227,594.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,059.84 : 412,702.50 = 164,923.84 : x
  2. Step 2: Convert to fraction form
    299,059.84/412,702.50 = 164,923.84/x
  3. Step 3: Cross multiply
    299,059.84x = 412,702.50 × 164,923.84
  4. Step 4: Simplify right side
    299,059.84x = 68,064,481,077.60
  5. Step 5: Solve for x
    x = 68,064,481,077.60/299,059.84
  6. Step 6: Final answer
    x = 227,594.86

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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.