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Finding the Fourth Proportional to 1,380,829.64, 1,905,529.56 and 768,969.06

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Solution

The fourth proportional to 1,380,829.64, 1,905,529.56 and 768,969.06 is: 1,061,168.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380,829.64 : 1,905,529.56 = 768,969.06 : x
  2. Step 2: Convert to fraction form
    1,380,829.64/1,905,529.56 = 768,969.06/x
  3. Step 3: Cross multiply
    1,380,829.64x = 1,905,529.56 × 768,969.06
  4. Step 4: Simplify right side
    1,380,829.64x = 1,465,293,274,555.41
  5. Step 5: Solve for x
    x = 1,465,293,274,555.41/1,380,829.64
  6. Step 6: Final answer
    x = 1,061,168.76

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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.