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Finding the Fourth Proportional to 276,808.74, 414,890.52 and 127,064.84

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Solution

The fourth proportional to 276,808.74, 414,890.52 and 127,064.84 is: 190,449.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,808.74 : 414,890.52 = 127,064.84 : x
  2. Step 2: Convert to fraction form
    276,808.74/414,890.52 = 127,064.84/x
  3. Step 3: Cross multiply
    276,808.74x = 414,890.52 × 127,064.84
  4. Step 4: Simplify right side
    276,808.74x = 52,717,997,541.32
  5. Step 5: Solve for x
    x = 52,717,997,541.32/276,808.74
  6. Step 6: Final answer
    x = 190,449.18

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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.