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Finding the Fourth Proportional to 301,341.38, 415,823.60 and 178,812.64

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Solution

The fourth proportional to 301,341.38, 415,823.60 and 178,812.64 is: 246,745.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,341.38 : 415,823.60 = 178,812.64 : x
  2. Step 2: Convert to fraction form
    301,341.38/415,823.60 = 178,812.64/x
  3. Step 3: Cross multiply
    301,341.38x = 415,823.60 × 178,812.64
  4. Step 4: Simplify right side
    301,341.38x = 74,354,515,690.30
  5. Step 5: Solve for x
    x = 74,354,515,690.30/301,341.38
  6. Step 6: Final answer
    x = 246,745.12

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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.