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Finding the Fourth Proportional to 310,288.80, 465,433.20 and 276,463.20

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Solution

The fourth proportional to 310,288.80, 465,433.20 and 276,463.20 is: 414,694.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,288.80 : 465,433.20 = 276,463.20 : x
  2. Step 2: Convert to fraction form
    310,288.80/465,433.20 = 276,463.20/x
  3. Step 3: Cross multiply
    310,288.80x = 465,433.20 × 276,463.20
  4. Step 4: Simplify right side
    310,288.80x = 128,675,151,858.24
  5. Step 5: Solve for x
    x = 128,675,151,858.24/310,288.80
  6. Step 6: Final answer
    x = 414,694.80

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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.