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Finding the Fourth Proportional to 1,424,599.78, 1,965,947.25 and 780,019.78

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Solution

The fourth proportional to 1,424,599.78, 1,965,947.25 and 780,019.78 is: 1,076,427.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424,599.78 : 1,965,947.25 = 780,019.78 : x
  2. Step 2: Convert to fraction form
    1,424,599.78/1,965,947.25 = 780,019.78/x
  3. Step 3: Cross multiply
    1,424,599.78x = 1,965,947.25 × 780,019.78
  4. Step 4: Simplify right side
    1,424,599.78x = 1,533,477,741,436.61
  5. Step 5: Solve for x
    x = 1,533,477,741,436.61/1,424,599.78
  6. Step 6: Final answer
    x = 1,076,427.05

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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.