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Finding the Fourth Proportional to 310,824.12, 428,936.62 and 174,858.16

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Solution

The fourth proportional to 310,824.12, 428,936.62 and 174,858.16 is: 241,303.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,824.12 : 428,936.62 = 174,858.16 : x
  2. Step 2: Convert to fraction form
    310,824.12/428,936.62 = 174,858.16/x
  3. Step 3: Cross multiply
    310,824.12x = 428,936.62 × 174,858.16
  4. Step 4: Simplify right side
    310,824.12x = 75,003,068,129.82
  5. Step 5: Solve for x
    x = 75,003,068,129.82/310,824.12
  6. Step 6: Final answer
    x = 241,303.89

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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.