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Finding the Fourth Proportional to 299,817.60, 449,726.40 and 78,201.60

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Solution

The fourth proportional to 299,817.60, 449,726.40 and 78,201.60 is: 117,302.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,817.60 : 449,726.40 = 78,201.60 : x
  2. Step 2: Convert to fraction form
    299,817.60/449,726.40 = 78,201.60/x
  3. Step 3: Cross multiply
    299,817.60x = 449,726.40 × 78,201.60
  4. Step 4: Simplify right side
    299,817.60x = 35,169,324,042.24
  5. Step 5: Solve for x
    x = 35,169,324,042.24/299,817.60
  6. Step 6: Final answer
    x = 117,302.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.