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Finding the Fourth Proportional to 276,597.29, 414,724.09 and 116,590.90

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Solution

The fourth proportional to 276,597.29, 414,724.09 and 116,590.90 is: 174,813.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,597.29 : 414,724.09 = 116,590.90 : x
  2. Step 2: Convert to fraction form
    276,597.29/414,724.09 = 116,590.90/x
  3. Step 3: Cross multiply
    276,597.29x = 414,724.09 × 116,590.90
  4. Step 4: Simplify right side
    276,597.29x = 48,353,054,904.78
  5. Step 5: Solve for x
    x = 48,353,054,904.78/276,597.29
  6. Step 6: Final answer
    x = 174,813.91

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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.