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Finding the Fourth Proportional to 415,910.64, 574,111.92 and 323,847.68

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Solution

The fourth proportional to 415,910.64, 574,111.92 and 323,847.68 is: 447,030.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,910.64 : 574,111.92 = 323,847.68 : x
  2. Step 2: Convert to fraction form
    415,910.64/574,111.92 = 323,847.68/x
  3. Step 3: Cross multiply
    415,910.64x = 574,111.92 × 323,847.68
  4. Step 4: Simplify right side
    415,910.64x = 185,924,813,352.35
  5. Step 5: Solve for x
    x = 185,924,813,352.35/415,910.64
  6. Step 6: Final answer
    x = 447,030.67

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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.