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Finding the Fourth Proportional to 1,410,772.72, 1,946,865.90 and 766,193.08

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Solution

The fourth proportional to 1,410,772.72, 1,946,865.90 and 766,193.08 is: 1,057,346.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410,772.72 : 1,946,865.90 = 766,193.08 : x
  2. Step 2: Convert to fraction form
    1,410,772.72/1,946,865.90 = 766,193.08/x
  3. Step 3: Cross multiply
    1,410,772.72x = 1,946,865.90 × 766,193.08
  4. Step 4: Simplify right side
    1,410,772.72x = 1,491,675,180,267.97
  5. Step 5: Solve for x
    x = 1,491,675,180,267.97/1,410,772.72
  6. Step 6: Final answer
    x = 1,057,346.20

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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.