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Finding the Fourth Proportional to 309,201.20, 463,269.14 and 241,706.96

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Solution

The fourth proportional to 309,201.20, 463,269.14 and 241,706.96 is: 362,144.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,201.20 : 463,269.14 = 241,706.96 : x
  2. Step 2: Convert to fraction form
    309,201.20/463,269.14 = 241,706.96/x
  3. Step 3: Cross multiply
    309,201.20x = 463,269.14 × 241,706.96
  4. Step 4: Simplify right side
    309,201.20x = 111,975,375,491.21
  5. Step 5: Solve for x
    x = 111,975,375,491.21/309,201.20
  6. Step 6: Final answer
    x = 362,144.05

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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.