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Finding the Fourth Proportional to 1,282,923.22, 1,770,462.93 and 831,000.82

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Solution

The fourth proportional to 1,282,923.22, 1,770,462.93 and 831,000.82 is: 1,146,799.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282,923.22 : 1,770,462.93 = 831,000.82 : x
  2. Step 2: Convert to fraction form
    1,282,923.22/1,770,462.93 = 831,000.82/x
  3. Step 3: Cross multiply
    1,282,923.22x = 1,770,462.93 × 831,000.82
  4. Step 4: Simplify right side
    1,282,923.22x = 1,471,256,146,609.60
  5. Step 5: Solve for x
    x = 1,471,256,146,609.60/1,282,923.22
  6. Step 6: Final answer
    x = 1,146,799.84

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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.