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Finding the Fourth Proportional to 465,114.40, 696,116.40 and 325,146.40

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Solution

The fourth proportional to 465,114.40, 696,116.40 and 325,146.40 is: 486,632.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,114.40 : 696,116.40 = 325,146.40 : x
  2. Step 2: Convert to fraction form
    465,114.40/696,116.40 = 325,146.40/x
  3. Step 3: Cross multiply
    465,114.40x = 696,116.40 × 325,146.40
  4. Step 4: Simplify right side
    465,114.40x = 226,339,741,440.96
  5. Step 5: Solve for x
    x = 226,339,741,440.96/465,114.40
  6. Step 6: Final answer
    x = 486,632.41

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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.