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Finding the Fourth Proportional to 374,809.71, 517,249.62 and 205,043.84

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Solution

The fourth proportional to 374,809.71, 517,249.62 and 205,043.84 is: 282,967.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,809.71 : 517,249.62 = 205,043.84 : x
  2. Step 2: Convert to fraction form
    374,809.71/517,249.62 = 205,043.84/x
  3. Step 3: Cross multiply
    374,809.71x = 517,249.62 × 205,043.84
  4. Step 4: Simplify right side
    374,809.71x = 106,058,845,737.09
  5. Step 5: Solve for x
    x = 106,058,845,737.09/374,809.71
  6. Step 6: Final answer
    x = 282,967.18

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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.