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Finding the Fourth Proportional to 511,652.30, 706,274.71 and 384,696.68

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Solution

The fourth proportional to 511,652.30, 706,274.71 and 384,696.68 is: 531,027.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,652.30 : 706,274.71 = 384,696.68 : x
  2. Step 2: Convert to fraction form
    511,652.30/706,274.71 = 384,696.68/x
  3. Step 3: Cross multiply
    511,652.30x = 706,274.71 × 384,696.68
  4. Step 4: Simplify right side
    511,652.30x = 271,701,531,611.85
  5. Step 5: Solve for x
    x = 271,701,531,611.85/511,652.30
  6. Step 6: Final answer
    x = 531,027.68

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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.