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Finding the Fourth Proportional to 1,293,194.33, 1,784,747.71 and 712,476.80

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Solution

The fourth proportional to 1,293,194.33, 1,784,747.71 and 712,476.80 is: 983,294.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293,194.33 : 1,784,747.71 = 712,476.80 : x
  2. Step 2: Convert to fraction form
    1,293,194.33/1,784,747.71 = 712,476.80/x
  3. Step 3: Cross multiply
    1,293,194.33x = 1,784,747.71 × 712,476.80
  4. Step 4: Simplify right side
    1,293,194.33x = 1,271,591,337,891.63
  5. Step 5: Solve for x
    x = 1,271,591,337,891.63/1,293,194.33
  6. Step 6: Final answer
    x = 983,294.86

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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.