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Finding the Fourth Proportional to 282,133.72, 388,859.70 and 268,846.48

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Solution

The fourth proportional to 282,133.72, 388,859.70 and 268,846.48 is: 370,546.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,133.72 : 388,859.70 = 268,846.48 : x
  2. Step 2: Convert to fraction form
    282,133.72/388,859.70 = 268,846.48/x
  3. Step 3: Cross multiply
    282,133.72x = 388,859.70 × 268,846.48
  4. Step 4: Simplify right side
    282,133.72x = 104,543,561,558.86
  5. Step 5: Solve for x
    x = 104,543,561,558.86/282,133.72
  6. Step 6: Final answer
    x = 370,546.14

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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.