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Finding the Fourth Proportional to 354,811.14, 489,646.89 and 201,844.26

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Solution

The fourth proportional to 354,811.14, 489,646.89 and 201,844.26 is: 278,549.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,811.14 : 489,646.89 = 201,844.26 : x
  2. Step 2: Convert to fraction form
    354,811.14/489,646.89 = 201,844.26/x
  3. Step 3: Cross multiply
    354,811.14x = 489,646.89 × 201,844.26
  4. Step 4: Simplify right side
    354,811.14x = 98,832,414,173.35
  5. Step 5: Solve for x
    x = 98,832,414,173.35/354,811.14
  6. Step 6: Final answer
    x = 278,549.35

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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.