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Finding the Fourth Proportional to 1,411,982.47, 1,948,548.62 and 767,404.21

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Solution

The fourth proportional to 1,411,982.47, 1,948,548.62 and 767,404.21 is: 1,059,024.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411,982.47 : 1,948,548.62 = 767,404.21 : x
  2. Step 2: Convert to fraction form
    1,411,982.47/1,948,548.62 = 767,404.21/x
  3. Step 3: Cross multiply
    1,411,982.47x = 1,948,548.62 × 767,404.21
  4. Step 4: Simplify right side
    1,411,982.47x = 1,495,324,414,377.69
  5. Step 5: Solve for x
    x = 1,495,324,414,377.69/1,411,982.47
  6. Step 6: Final answer
    x = 1,059,024.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.