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Finding the Fourth Proportional to 463,032, 638,984.16 and 251,064

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Solution

The fourth proportional to 463,032, 638,984.16 and 251,064 is: 346,468.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,032 : 638,984.16 = 251,064 : x
  2. Step 2: Convert to fraction form
    463,032/638,984.16 = 251,064/x
  3. Step 3: Cross multiply
    463,032x = 638,984.16 × 251,064
  4. Step 4: Simplify right side
    463,032x = 160,425,919,146.24
  5. Step 5: Solve for x
    x = 160,425,919,146.24/463,032
  6. Step 6: Final answer
    x = 346,468.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.