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Finding the Fourth Proportional to 463,414.10, 647,205.10 and 463,414.10

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Solution

The fourth proportional to 463,414.10, 647,205.10 and 463,414.10 is: 647,205.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,414.10 : 647,205.10 = 463,414.10 : x
  2. Step 2: Convert to fraction form
    463,414.10/647,205.10 = 463,414.10/x
  3. Step 3: Cross multiply
    463,414.10x = 647,205.10 × 463,414.10
  4. Step 4: Simplify right side
    463,414.10x = 299,923,968,931.91
  5. Step 5: Solve for x
    x = 299,923,968,931.91/463,414.10
  6. Step 6: Final answer
    x = 647,205.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.