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Finding the Fourth Proportional to 276,530.87, 414,957.29 and 116,596.77

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Solution

The fourth proportional to 276,530.87, 414,957.29 and 116,596.77 is: 174,963.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,530.87 : 414,957.29 = 116,596.77 : x
  2. Step 2: Convert to fraction form
    276,530.87/414,957.29 = 116,596.77/x
  3. Step 3: Cross multiply
    276,530.87x = 414,957.29 × 116,596.77
  4. Step 4: Simplify right side
    276,530.87x = 48,382,679,118.97
  5. Step 5: Solve for x
    x = 48,382,679,118.97/276,530.87
  6. Step 6: Final answer
    x = 174,963.03

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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.