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Finding the Fourth Proportional to 287,716, 397,086.56 and 165,256.56

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Solution

The fourth proportional to 287,716, 397,086.56 and 165,256.56 is: 228,076.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,716 : 397,086.56 = 165,256.56 : x
  2. Step 2: Convert to fraction form
    287,716/397,086.56 = 165,256.56/x
  3. Step 3: Cross multiply
    287,716x = 397,086.56 × 165,256.56
  4. Step 4: Simplify right side
    287,716x = 65,621,158,927.83
  5. Step 5: Solve for x
    x = 65,621,158,927.83/287,716
  6. Step 6: Final answer
    x = 228,076.15

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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.