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Finding the Fourth Proportional to 463,042.44, 638,638.02 and 310,032

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Solution

The fourth proportional to 463,042.44, 638,638.02 and 310,032 is: 427,602.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,042.44 : 638,638.02 = 310,032 : x
  2. Step 2: Convert to fraction form
    463,042.44/638,638.02 = 310,032/x
  3. Step 3: Cross multiply
    463,042.44x = 638,638.02 × 310,032
  4. Step 4: Simplify right side
    463,042.44x = 197,998,222,616.64
  5. Step 5: Solve for x
    x = 197,998,222,616.64/463,042.44
  6. Step 6: Final answer
    x = 427,602.75

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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.