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Finding the Fourth Proportional to 463,846.10, 696,007.20 and 220,962.23

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Solution

The fourth proportional to 463,846.10, 696,007.20 and 220,962.23 is: 331,556.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,846.10 : 696,007.20 = 220,962.23 : x
  2. Step 2: Convert to fraction form
    463,846.10/696,007.20 = 220,962.23/x
  3. Step 3: Cross multiply
    463,846.10x = 696,007.20 × 220,962.23
  4. Step 4: Simplify right side
    463,846.10x = 153,791,299,528.02
  5. Step 5: Solve for x
    x = 153,791,299,528.02/463,846.10
  6. Step 6: Final answer
    x = 331,556.74

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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.