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Finding the Fourth Proportional to 415,992.16, 574,069.26 and 234,742.60

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Solution

The fourth proportional to 415,992.16, 574,069.26 and 234,742.60 is: 323,944.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,992.16 : 574,069.26 = 234,742.60 : x
  2. Step 2: Convert to fraction form
    415,992.16/574,069.26 = 234,742.60/x
  3. Step 3: Cross multiply
    415,992.16x = 574,069.26 × 234,742.60
  4. Step 4: Simplify right side
    415,992.16x = 134,758,510,672.48
  5. Step 5: Solve for x
    x = 134,758,510,672.48/415,992.16
  6. Step 6: Final answer
    x = 323,944.83

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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.