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Finding the Fourth Proportional to 1,411,982.97, 1,948,549.31 and 767,404.71

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Solution

The fourth proportional to 1,411,982.97, 1,948,549.31 and 767,404.71 is: 1,059,025.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411,982.97 : 1,948,549.31 = 767,404.71 : x
  2. Step 2: Convert to fraction form
    1,411,982.97/1,948,549.31 = 767,404.71/x
  3. Step 3: Cross multiply
    1,411,982.97x = 1,948,549.31 × 767,404.71
  4. Step 4: Simplify right side
    1,411,982.97x = 1,495,325,914,324.23
  5. Step 5: Solve for x
    x = 1,495,325,914,324.23/1,411,982.97
  6. Step 6: Final answer
    x = 1,059,025.46

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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.