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Finding the Fourth Proportional to 310,450, 428,421.54 and 176,314

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Solution

The fourth proportional to 310,450, 428,421.54 and 176,314 is: 243,313.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,450 : 428,421.54 = 176,314 : x
  2. Step 2: Convert to fraction form
    310,450/428,421.54 = 176,314/x
  3. Step 3: Cross multiply
    310,450x = 428,421.54 × 176,314
  4. Step 4: Simplify right side
    310,450x = 75,536,715,403.56
  5. Step 5: Solve for x
    x = 75,536,715,403.56/310,450
  6. Step 6: Final answer
    x = 243,313.63

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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.