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Finding the Fourth Proportional to 314,513.60, 471,768.17 and 188,189.06

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Solution

The fourth proportional to 314,513.60, 471,768.17 and 188,189.06 is: 282,282.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,513.60 : 471,768.17 = 188,189.06 : x
  2. Step 2: Convert to fraction form
    314,513.60/471,768.17 = 188,189.06/x
  3. Step 3: Cross multiply
    314,513.60x = 471,768.17 × 188,189.06
  4. Step 4: Simplify right side
    314,513.60x = 88,781,605,150.43
  5. Step 5: Solve for x
    x = 88,781,605,150.43/314,513.60
  6. Step 6: Final answer
    x = 282,282.25

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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.