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Finding the Fourth Proportional to 1,409,594.90, 1,945,240.18 and 797,736.54

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Solution

The fourth proportional to 1,409,594.90, 1,945,240.18 and 797,736.54 is: 1,100,875.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409,594.90 : 1,945,240.18 = 797,736.54 : x
  2. Step 2: Convert to fraction form
    1,409,594.90/1,945,240.18 = 797,736.54/x
  3. Step 3: Cross multiply
    1,409,594.90x = 1,945,240.18 × 797,736.54
  4. Step 4: Simplify right side
    1,409,594.90x = 1,551,789,170,662.18
  5. Step 5: Solve for x
    x = 1,551,789,170,662.18/1,409,594.90
  6. Step 6: Final answer
    x = 1,100,875.98

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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.