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Finding the Fourth Proportional to 307,681.92, 424,362.24 and 194,463.36

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Solution

The fourth proportional to 307,681.92, 424,362.24 and 194,463.36 is: 268,208.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,681.92 : 424,362.24 = 194,463.36 : x
  2. Step 2: Convert to fraction form
    307,681.92/424,362.24 = 194,463.36/x
  3. Step 3: Cross multiply
    307,681.92x = 424,362.24 × 194,463.36
  4. Step 4: Simplify right side
    307,681.92x = 82,522,907,047.53
  5. Step 5: Solve for x
    x = 82,522,907,047.53/307,681.92
  6. Step 6: Final answer
    x = 268,208.50

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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.