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Finding the Fourth Proportional to 325,827.80, 488,741.70 and 115,438.40

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Solution

The fourth proportional to 325,827.80, 488,741.70 and 115,438.40 is: 173,157.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,827.80 : 488,741.70 = 115,438.40 : x
  2. Step 2: Convert to fraction form
    325,827.80/488,741.70 = 115,438.40/x
  3. Step 3: Cross multiply
    325,827.80x = 488,741.70 × 115,438.40
  4. Step 4: Simplify right side
    325,827.80x = 56,419,559,861.28
  5. Step 5: Solve for x
    x = 56,419,559,861.28/325,827.80
  6. Step 6: Final answer
    x = 173,157.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.