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Finding the Fourth Proportional to 214,635.84, 320,507.94 and 175,269.84

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Solution

The fourth proportional to 214,635.84, 320,507.94 and 175,269.84 is: 261,724.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,635.84 : 320,507.94 = 175,269.84 : x
  2. Step 2: Convert to fraction form
    214,635.84/320,507.94 = 175,269.84/x
  3. Step 3: Cross multiply
    214,635.84x = 320,507.94 × 175,269.84
  4. Step 4: Simplify right side
    214,635.84x = 56,175,375,362.53
  5. Step 5: Solve for x
    x = 56,175,375,362.53/214,635.84
  6. Step 6: Final answer
    x = 261,724.12

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.