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Finding the Fourth Proportional to 310,187.84, 428,060.94 and 174,221.80

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Solution

The fourth proportional to 310,187.84, 428,060.94 and 174,221.80 is: 240,427.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,187.84 : 428,060.94 = 174,221.80 : x
  2. Step 2: Convert to fraction form
    310,187.84/428,060.94 = 174,221.80/x
  3. Step 3: Cross multiply
    310,187.84x = 428,060.94 × 174,221.80
  4. Step 4: Simplify right side
    310,187.84x = 74,577,545,753.01
  5. Step 5: Solve for x
    x = 74,577,545,753.01/310,187.84
  6. Step 6: Final answer
    x = 240,427.04

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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.