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Finding the Fourth Proportional to 712,866.36, 983,717.97 and 406,930.57

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Solution

The fourth proportional to 712,866.36, 983,717.97 and 406,930.57 is: 561,542.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,866.36 : 983,717.97 = 406,930.57 : x
  2. Step 2: Convert to fraction form
    712,866.36/983,717.97 = 406,930.57/x
  3. Step 3: Cross multiply
    712,866.36x = 983,717.97 × 406,930.57
  4. Step 4: Simplify right side
    712,866.36x = 400,304,914,251.34
  5. Step 5: Solve for x
    x = 400,304,914,251.34/712,866.36
  6. Step 6: Final answer
    x = 561,542.72

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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.