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Finding the Fourth Proportional to 276,658.65, 414,987.98 and 276,658.65

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Solution

The fourth proportional to 276,658.65, 414,987.98 and 276,658.65 is: 414,987.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,658.65 : 414,987.98 = 276,658.65 : x
  2. Step 2: Convert to fraction form
    276,658.65/414,987.98 = 276,658.65/x
  3. Step 3: Cross multiply
    276,658.65x = 414,987.98 × 276,658.65
  4. Step 4: Simplify right side
    276,658.65x = 114,810,012,929.73
  5. Step 5: Solve for x
    x = 114,810,012,929.73/276,658.65
  6. Step 6: Final answer
    x = 414,987.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.