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Finding the Fourth Proportional to 1,409,394.90, 1,944,970.05 and 764,815.07

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Solution

The fourth proportional to 1,409,394.90, 1,944,970.05 and 764,815.07 is: 1,055,447.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409,394.90 : 1,944,970.05 = 764,815.07 : x
  2. Step 2: Convert to fraction form
    1,409,394.90/1,944,970.05 = 764,815.07/x
  3. Step 3: Cross multiply
    1,409,394.90x = 1,944,970.05 × 764,815.07
  4. Step 4: Simplify right side
    1,409,394.90x = 1,487,542,404,938.65
  5. Step 5: Solve for x
    x = 1,487,542,404,938.65/1,409,394.90
  6. Step 6: Final answer
    x = 1,055,447.56

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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.