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Finding the Fourth Proportional to 463,857.42, 635,326.94 and 436,621.98

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Solution

The fourth proportional to 463,857.42, 635,326.94 and 436,621.98 is: 598,023.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,857.42 : 635,326.94 = 436,621.98 : x
  2. Step 2: Convert to fraction form
    463,857.42/635,326.94 = 436,621.98/x
  3. Step 3: Cross multiply
    463,857.42x = 635,326.94 × 436,621.98
  4. Step 4: Simplify right side
    463,857.42x = 277,397,704,307.03
  5. Step 5: Solve for x
    x = 277,397,704,307.03/463,857.42
  6. Step 6: Final answer
    x = 598,023.64

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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.