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Finding the Fourth Proportional to 390,408.53, 538,741.41 and 215,968.33

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Solution

The fourth proportional to 390,408.53, 538,741.41 and 215,968.33 is: 298,023.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,408.53 : 538,741.41 = 215,968.33 : x
  2. Step 2: Convert to fraction form
    390,408.53/538,741.41 = 215,968.33/x
  3. Step 3: Cross multiply
    390,408.53x = 538,741.41 × 215,968.33
  4. Step 4: Simplify right side
    390,408.53x = 116,351,082,619.55
  5. Step 5: Solve for x
    x = 116,351,082,619.55/390,408.53
  6. Step 6: Final answer
    x = 298,023.93

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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.