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Finding the Fourth Proportional to 292,464, 403,662.69 and 200,708.82

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Solution

The fourth proportional to 292,464, 403,662.69 and 200,708.82 is: 277,020.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,464 : 403,662.69 = 200,708.82 : x
  2. Step 2: Convert to fraction form
    292,464/403,662.69 = 200,708.82/x
  3. Step 3: Cross multiply
    292,464x = 403,662.69 × 200,708.82
  4. Step 4: Simplify right side
    292,464x = 81,018,662,187.93
  5. Step 5: Solve for x
    x = 81,018,662,187.93/292,464
  6. Step 6: Final answer
    x = 277,020.97

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