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Finding the Fourth Proportional to 427,211.40, 640,874.70 and 146,814.60

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Solution

The fourth proportional to 427,211.40, 640,874.70 and 146,814.60 is: 220,241.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,211.40 : 640,874.70 = 146,814.60 : x
  2. Step 2: Convert to fraction form
    427,211.40/640,874.70 = 146,814.60/x
  3. Step 3: Cross multiply
    427,211.40x = 640,874.70 × 146,814.60
  4. Step 4: Simplify right side
    427,211.40x = 94,089,762,730.62
  5. Step 5: Solve for x
    x = 94,089,762,730.62/427,211.40
  6. Step 6: Final answer
    x = 220,241.69

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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.