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Finding the Fourth Proportional to 427,748.68, 642,453.34 and 314,983.48

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Solution

The fourth proportional to 427,748.68, 642,453.34 and 314,983.48 is: 473,086.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,748.68 : 642,453.34 = 314,983.48 : x
  2. Step 2: Convert to fraction form
    427,748.68/642,453.34 = 314,983.48/x
  3. Step 3: Cross multiply
    427,748.68x = 642,453.34 × 314,983.48
  4. Step 4: Simplify right side
    427,748.68x = 202,362,188,770.82
  5. Step 5: Solve for x
    x = 202,362,188,770.82/427,748.68
  6. Step 6: Final answer
    x = 473,086.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.