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Finding the Fourth Proportional to 1,071,829.88, 1,606,902.78 and 733,848.16

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Solution

The fourth proportional to 1,071,829.88, 1,606,902.78 and 733,848.16 is: 1,100,195.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071,829.88 : 1,606,902.78 = 733,848.16 : x
  2. Step 2: Convert to fraction form
    1,071,829.88/1,606,902.78 = 733,848.16/x
  3. Step 3: Cross multiply
    1,071,829.88x = 1,606,902.78 × 733,848.16
  4. Step 4: Simplify right side
    1,071,829.88x = 1,179,222,648,401.88
  5. Step 5: Solve for x
    x = 1,179,222,648,401.88/1,071,829.88
  6. Step 6: Final answer
    x = 1,100,195.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.