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Finding the Fourth Proportional to 463,213.12, 633,397.10 and 463,213.12

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Solution

The fourth proportional to 463,213.12, 633,397.10 and 463,213.12 is: 633,397.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,213.12 : 633,397.10 = 463,213.12 : x
  2. Step 2: Convert to fraction form
    463,213.12/633,397.10 = 463,213.12/x
  3. Step 3: Cross multiply
    463,213.12x = 633,397.10 × 463,213.12
  4. Step 4: Simplify right side
    463,213.12x = 293,397,846,889.95
  5. Step 5: Solve for x
    x = 293,397,846,889.95/463,213.12
  6. Step 6: Final answer
    x = 633,397.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.