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Finding the Fourth Proportional to 463,104.40, 694,656.60 and 147,584.40

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Solution

The fourth proportional to 463,104.40, 694,656.60 and 147,584.40 is: 221,376.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,104.40 : 694,656.60 = 147,584.40 : x
  2. Step 2: Convert to fraction form
    463,104.40/694,656.60 = 147,584.40/x
  3. Step 3: Cross multiply
    463,104.40x = 694,656.60 × 147,584.40
  4. Step 4: Simplify right side
    463,104.40x = 102,520,477,517.04
  5. Step 5: Solve for x
    x = 102,520,477,517.04/463,104.40
  6. Step 6: Final answer
    x = 221,376.60

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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.