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Finding the Fourth Proportional to 539,516.65, 809,362.86 and 202,583.38

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Solution

The fourth proportional to 539,516.65, 809,362.86 and 202,583.38 is: 303,908.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,516.65 : 809,362.86 = 202,583.38 : x
  2. Step 2: Convert to fraction form
    539,516.65/809,362.86 = 202,583.38/x
  3. Step 3: Cross multiply
    539,516.65x = 809,362.86 × 202,583.38
  4. Step 4: Simplify right side
    539,516.65x = 163,963,463,825.27
  5. Step 5: Solve for x
    x = 163,963,463,825.27/539,516.65
  6. Step 6: Final answer
    x = 303,908.07

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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.