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Finding the Fourth Proportional to 861,678, 1,292,517 and 387,809.64

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Solution

The fourth proportional to 861,678, 1,292,517 and 387,809.64 is: 581,714.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    861,678 : 1,292,517 = 387,809.64 : x
  2. Step 2: Convert to fraction form
    861,678/1,292,517 = 387,809.64/x
  3. Step 3: Cross multiply
    861,678x = 1,292,517 × 387,809.64
  4. Step 4: Simplify right side
    861,678x = 501,250,552,463.88
  5. Step 5: Solve for x
    x = 501,250,552,463.88/861,678
  6. Step 6: Final answer
    x = 581,714.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.