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Finding the Fourth Proportional to 360,958.16, 541,969.50 and 201,345.96

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Solution

The fourth proportional to 360,958.16, 541,969.50 and 201,345.96 is: 302,315.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,958.16 : 541,969.50 = 201,345.96 : x
  2. Step 2: Convert to fraction form
    360,958.16/541,969.50 = 201,345.96/x
  3. Step 3: Cross multiply
    360,958.16x = 541,969.50 × 201,345.96
  4. Step 4: Simplify right side
    360,958.16x = 109,123,369,268.22
  5. Step 5: Solve for x
    x = 109,123,369,268.22/360,958.16
  6. Step 6: Final answer
    x = 302,315.84

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Why These Related Problems?

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