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Finding the Fourth Proportional to 354,322.81, 488,946.94 and 201,340.54

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Solution

The fourth proportional to 354,322.81, 488,946.94 and 201,340.54 is: 277,839.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,322.81 : 488,946.94 = 201,340.54 : x
  2. Step 2: Convert to fraction form
    354,322.81/488,946.94 = 201,340.54/x
  3. Step 3: Cross multiply
    354,322.81x = 488,946.94 × 201,340.54
  4. Step 4: Simplify right side
    354,322.81x = 98,444,840,930.95
  5. Step 5: Solve for x
    x = 98,444,840,930.95/354,322.81
  6. Step 6: Final answer
    x = 277,839.41

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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.