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Finding the Fourth Proportional to 296,494.40, 444,741.60 and 178,104.80

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Solution

The fourth proportional to 296,494.40, 444,741.60 and 178,104.80 is: 267,157.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,494.40 : 444,741.60 = 178,104.80 : x
  2. Step 2: Convert to fraction form
    296,494.40/444,741.60 = 178,104.80/x
  3. Step 3: Cross multiply
    296,494.40x = 444,741.60 × 178,104.80
  4. Step 4: Simplify right side
    296,494.40x = 79,210,613,719.68
  5. Step 5: Solve for x
    x = 79,210,613,719.68/296,494.40
  6. Step 6: Final answer
    x = 267,157.20

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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.