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Finding the Fourth Proportional to 1,965,778.69, 2,949,377.60 and 686,574.45

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Solution

The fourth proportional to 1,965,778.69, 2,949,377.60 and 686,574.45 is: 1,030,109.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965,778.69 : 2,949,377.60 = 686,574.45 : x
  2. Step 2: Convert to fraction form
    1,965,778.69/2,949,377.60 = 686,574.45/x
  3. Step 3: Cross multiply
    1,965,778.69x = 2,949,377.60 × 686,574.45
  4. Step 4: Simplify right side
    1,965,778.69x = 2,024,967,303,562.32
  5. Step 5: Solve for x
    x = 2,024,967,303,562.32/1,965,778.69
  6. Step 6: Final answer
    x = 1,030,109.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.