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Finding the Fourth Proportional to 469,309.28, 647,598.87 and 288,028.85

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Solution

The fourth proportional to 469,309.28, 647,598.87 and 288,028.85 is: 397,450.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,309.28 : 647,598.87 = 288,028.85 : x
  2. Step 2: Convert to fraction form
    469,309.28/647,598.87 = 288,028.85/x
  3. Step 3: Cross multiply
    469,309.28x = 647,598.87 × 288,028.85
  4. Step 4: Simplify right side
    469,309.28x = 186,527,159,406.40
  5. Step 5: Solve for x
    x = 186,527,159,406.40/469,309.28
  6. Step 6: Final answer
    x = 397,450.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.