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Finding the Fourth Proportional to 1,410,751.56, 1,946,848.58 and 766,176.37

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Solution

The fourth proportional to 1,410,751.56, 1,946,848.58 and 766,176.37 is: 1,057,329.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410,751.56 : 1,946,848.58 = 766,176.37 : x
  2. Step 2: Convert to fraction form
    1,410,751.56/1,946,848.58 = 766,176.37/x
  3. Step 3: Cross multiply
    1,410,751.56x = 1,946,848.58 × 766,176.37
  4. Step 4: Simplify right side
    1,410,751.56x = 1,491,629,373,216.61
  5. Step 5: Solve for x
    x = 1,491,629,373,216.61/1,410,751.56
  6. Step 6: Final answer
    x = 1,057,329.59

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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.