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Finding the Fourth Proportional to 1,410,330.33, 1,946,295.27 and 765,789.84

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Solution

The fourth proportional to 1,410,330.33, 1,946,295.27 and 765,789.84 is: 1,056,811.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410,330.33 : 1,946,295.27 = 765,789.84 : x
  2. Step 2: Convert to fraction form
    1,410,330.33/1,946,295.27 = 765,789.84/x
  3. Step 3: Cross multiply
    1,410,330.33x = 1,946,295.27 × 765,789.84
  4. Step 4: Simplify right side
    1,410,330.33x = 1,490,453,143,406.06
  5. Step 5: Solve for x
    x = 1,490,453,143,406.06/1,410,330.33
  6. Step 6: Final answer
    x = 1,056,811.38

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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.