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Finding the Fourth Proportional to 1,747,643.89, 2,411,171.81 and 1,424,798.95

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Solution

The fourth proportional to 1,747,643.89, 2,411,171.81 and 1,424,798.95 is: 1,965,752.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,747,643.89 : 2,411,171.81 = 1,424,798.95 : x
  2. Step 2: Convert to fraction form
    1,747,643.89/2,411,171.81 = 1,424,798.95/x
  3. Step 3: Cross multiply
    1,747,643.89x = 2,411,171.81 × 1,424,798.95
  4. Step 4: Simplify right side
    1,747,643.89x = 3,435,435,056,033.61
  5. Step 5: Solve for x
    x = 3,435,435,056,033.61/1,747,643.89
  6. Step 6: Final answer
    x = 1,965,752.33

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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.