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Finding the Fourth Proportional to 301,341.34, 415,847.16 and 165,376.54

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Solution

The fourth proportional to 301,341.34, 415,847.16 and 165,376.54 is: 228,217.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,341.34 : 415,847.16 = 165,376.54 : x
  2. Step 2: Convert to fraction form
    301,341.34/415,847.16 = 165,376.54/x
  3. Step 3: Cross multiply
    301,341.34x = 415,847.16 × 165,376.54
  4. Step 4: Simplify right side
    301,341.34x = 68,771,364,489.63
  5. Step 5: Solve for x
    x = 68,771,364,489.63/301,341.34
  6. Step 6: Final answer
    x = 228,217.49

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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.