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Finding the Fourth Proportional to 256,994.40, 354,403.44 and 200,385.12

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Solution

The fourth proportional to 256,994.40, 354,403.44 and 200,385.12 is: 276,337.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,994.40 : 354,403.44 = 200,385.12 : x
  2. Step 2: Convert to fraction form
    256,994.40/354,403.44 = 200,385.12/x
  3. Step 3: Cross multiply
    256,994.40x = 354,403.44 × 200,385.12
  4. Step 4: Simplify right side
    256,994.40x = 71,017,175,852.81
  5. Step 5: Solve for x
    x = 71,017,175,852.81/256,994.40
  6. Step 6: Final answer
    x = 276,337.44

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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.