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Finding the Fourth Proportional to 299,042.42, 448,055.84 and 180,464.60

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Solution

The fourth proportional to 299,042.42, 448,055.84 and 180,464.60 is: 270,390.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,042.42 : 448,055.84 = 180,464.60 : x
  2. Step 2: Convert to fraction form
    299,042.42/448,055.84 = 180,464.60/x
  3. Step 3: Cross multiply
    299,042.42x = 448,055.84 × 180,464.60
  4. Step 4: Simplify right side
    299,042.42x = 80,858,214,800.66
  5. Step 5: Solve for x
    x = 80,858,214,800.66/299,042.42
  6. Step 6: Final answer
    x = 270,390.46

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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.