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Finding the Fourth Proportional to 310,119.14, 428,010.70 and 189,330.46

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Solution

The fourth proportional to 310,119.14, 428,010.70 and 189,330.46 is: 261,304.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,119.14 : 428,010.70 = 189,330.46 : x
  2. Step 2: Convert to fraction form
    310,119.14/428,010.70 = 189,330.46/x
  3. Step 3: Cross multiply
    310,119.14x = 428,010.70 × 189,330.46
  4. Step 4: Simplify right side
    310,119.14x = 81,035,462,715.92
  5. Step 5: Solve for x
    x = 81,035,462,715.92/310,119.14
  6. Step 6: Final answer
    x = 261,304.29

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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.