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Finding the Fourth Proportional to 310,081.40, 427,906.88 and 174,116.42

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Solution

The fourth proportional to 310,081.40, 427,906.88 and 174,116.42 is: 240,277.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,081.40 : 427,906.88 = 174,116.42 : x
  2. Step 2: Convert to fraction form
    310,081.40/427,906.88 = 174,116.42/x
  3. Step 3: Cross multiply
    310,081.40x = 427,906.88 × 174,116.42
  4. Step 4: Simplify right side
    310,081.40x = 74,505,614,038.97
  5. Step 5: Solve for x
    x = 74,505,614,038.97/310,081.40
  6. Step 6: Final answer
    x = 240,277.60

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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.