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Finding the Fourth Proportional to 374,787.60, 517,211.64 and 205,024.56

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Solution

The fourth proportional to 374,787.60, 517,211.64 and 205,024.56 is: 282,936.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,787.60 : 517,211.64 = 205,024.56 : x
  2. Step 2: Convert to fraction form
    374,787.60/517,211.64 = 205,024.56/x
  3. Step 3: Cross multiply
    374,787.60x = 517,211.64 × 205,024.56
  4. Step 4: Simplify right side
    374,787.60x = 106,041,088,917.88
  5. Step 5: Solve for x
    x = 106,041,088,917.88/374,787.60
  6. Step 6: Final answer
    x = 282,936.49

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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.