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Finding the Fourth Proportional to 301,328.34, 415,676.12 and 178,749.42

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Solution

The fourth proportional to 301,328.34, 415,676.12 and 178,749.42 is: 246,581.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,328.34 : 415,676.12 = 178,749.42 : x
  2. Step 2: Convert to fraction form
    301,328.34/415,676.12 = 178,749.42/x
  3. Step 3: Cross multiply
    301,328.34x = 415,676.12 × 178,749.42
  4. Step 4: Simplify right side
    301,328.34x = 74,301,864,464.10
  5. Step 5: Solve for x
    x = 74,301,864,464.10/301,328.34
  6. Step 6: Final answer
    x = 246,581.07

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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.