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Finding the Fourth Proportional to 1,314,041.96, 1,968,305.88 and 834,022.82

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Solution

The fourth proportional to 1,314,041.96, 1,968,305.88 and 834,022.82 is: 1,249,284.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314,041.96 : 1,968,305.88 = 834,022.82 : x
  2. Step 2: Convert to fraction form
    1,314,041.96/1,968,305.88 = 834,022.82/x
  3. Step 3: Cross multiply
    1,314,041.96x = 1,968,305.88 × 834,022.82
  4. Step 4: Simplify right side
    1,314,041.96x = 1,641,612,020,660.18
  5. Step 5: Solve for x
    x = 1,641,612,020,660.18/1,314,041.96
  6. Step 6: Final answer
    x = 1,249,284.32

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