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Finding the Fourth Proportional to 309,000.40, 463,500.60 and 219,770.80

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Solution

The fourth proportional to 309,000.40, 463,500.60 and 219,770.80 is: 329,656.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,000.40 : 463,500.60 = 219,770.80 : x
  2. Step 2: Convert to fraction form
    309,000.40/463,500.60 = 219,770.80/x
  3. Step 3: Cross multiply
    309,000.40x = 463,500.60 × 219,770.80
  4. Step 4: Simplify right side
    309,000.40x = 101,863,897,662.48
  5. Step 5: Solve for x
    x = 101,863,897,662.48/309,000.40
  6. Step 6: Final answer
    x = 329,656.20

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1.5x scale

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.