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Finding the Fourth Proportional to 1,383,961.54, 1,909,868.12 and 772,114.43

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Solution

The fourth proportional to 1,383,961.54, 1,909,868.12 and 772,114.43 is: 1,065,518.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383,961.54 : 1,909,868.12 = 772,114.43 : x
  2. Step 2: Convert to fraction form
    1,383,961.54/1,909,868.12 = 772,114.43/x
  3. Step 3: Cross multiply
    1,383,961.54x = 1,909,868.12 × 772,114.43
  4. Step 4: Simplify right side
    1,383,961.54x = 1,474,636,730,087.06
  5. Step 5: Solve for x
    x = 1,474,636,730,087.06/1,383,961.54
  6. Step 6: Final answer
    x = 1,065,518.58

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Why These Related Problems?

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