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Finding the Fourth Proportional to 301,344.38, 415,827.74 and 178,815.64

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Solution

The fourth proportional to 301,344.38, 415,827.74 and 178,815.64 is: 246,749.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,344.38 : 415,827.74 = 178,815.64 : x
  2. Step 2: Convert to fraction form
    301,344.38/415,827.74 = 178,815.64/x
  3. Step 3: Cross multiply
    301,344.38x = 415,827.74 × 178,815.64
  4. Step 4: Simplify right side
    301,344.38x = 74,356,503,457.85
  5. Step 5: Solve for x
    x = 74,356,503,457.85/301,344.38
  6. Step 6: Final answer
    x = 246,749.26

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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.