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Finding the Fourth Proportional to 276,366.54, 414,549.81 and 152,494.86

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Solution

The fourth proportional to 276,366.54, 414,549.81 and 152,494.86 is: 228,742.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,366.54 : 414,549.81 = 152,494.86 : x
  2. Step 2: Convert to fraction form
    276,366.54/414,549.81 = 152,494.86/x
  3. Step 3: Cross multiply
    276,366.54x = 414,549.81 × 152,494.86
  4. Step 4: Simplify right side
    276,366.54x = 63,216,715,238.98
  5. Step 5: Solve for x
    x = 63,216,715,238.98/276,366.54
  6. Step 6: Final answer
    x = 228,742.29

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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.