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Finding the Fourth Proportional to 360,019.72, 496,857.54 and 209,107

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Solution

The fourth proportional to 360,019.72, 496,857.54 and 209,107 is: 288,585.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,019.72 : 496,857.54 = 209,107 : x
  2. Step 2: Convert to fraction form
    360,019.72/496,857.54 = 209,107/x
  3. Step 3: Cross multiply
    360,019.72x = 496,857.54 × 209,107
  4. Step 4: Simplify right side
    360,019.72x = 103,896,389,616.78
  5. Step 5: Solve for x
    x = 103,896,389,616.78/360,019.72
  6. Step 6: Final answer
    x = 288,585.27

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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.