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Finding the Fourth Proportional to 276,292.80, 380,762.76 and 242,078.40

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Solution

The fourth proportional to 276,292.80, 380,762.76 and 242,078.40 is: 333,611.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,292.80 : 380,762.76 = 242,078.40 : x
  2. Step 2: Convert to fraction form
    276,292.80/380,762.76 = 242,078.40/x
  3. Step 3: Cross multiply
    276,292.80x = 380,762.76 × 242,078.40
  4. Step 4: Simplify right side
    276,292.80x = 92,174,439,720.38
  5. Step 5: Solve for x
    x = 92,174,439,720.38/276,292.80
  6. Step 6: Final answer
    x = 333,611.44

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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.