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Finding the Fourth Proportional to 384,107.34, 576,907.90 and 313,082.08

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Solution

The fourth proportional to 384,107.34, 576,907.90 and 313,082.08 is: 470,231.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,107.34 : 576,907.90 = 313,082.08 : x
  2. Step 2: Convert to fraction form
    384,107.34/576,907.90 = 313,082.08/x
  3. Step 3: Cross multiply
    384,107.34x = 576,907.90 × 313,082.08
  4. Step 4: Simplify right side
    384,107.34x = 180,619,525,300.43
  5. Step 5: Solve for x
    x = 180,619,525,300.43/384,107.34
  6. Step 6: Final answer
    x = 470,231.90

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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.