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Finding the Fourth Proportional to 354,881.40, 490,270.50 and 232,664.16

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Solution

The fourth proportional to 354,881.40, 490,270.50 and 232,664.16 is: 321,426.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,881.40 : 490,270.50 = 232,664.16 : x
  2. Step 2: Convert to fraction form
    354,881.40/490,270.50 = 232,664.16/x
  3. Step 3: Cross multiply
    354,881.40x = 490,270.50 × 232,664.16
  4. Step 4: Simplify right side
    354,881.40x = 114,068,374,055.28
  5. Step 5: Solve for x
    x = 114,068,374,055.28/354,881.40
  6. Step 6: Final answer
    x = 321,426.75

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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.