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Finding the Fourth Proportional to 314,555.40, 434,091.06 and 178,584.84

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Solution

The fourth proportional to 314,555.40, 434,091.06 and 178,584.84 is: 246,449.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,555.40 : 434,091.06 = 178,584.84 : x
  2. Step 2: Convert to fraction form
    314,555.40/434,091.06 = 178,584.84/x
  3. Step 3: Cross multiply
    314,555.40x = 434,091.06 × 178,584.84
  4. Step 4: Simplify right side
    314,555.40x = 77,522,082,495.53
  5. Step 5: Solve for x
    x = 77,522,082,495.53/314,555.40
  6. Step 6: Final answer
    x = 246,449.70

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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.