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Finding the Fourth Proportional to 365,724.95, 504,497.30 and 212,745.92

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Solution

The fourth proportional to 365,724.95, 504,497.30 and 212,745.92 is: 293,471.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,724.95 : 504,497.30 = 212,745.92 : x
  2. Step 2: Convert to fraction form
    365,724.95/504,497.30 = 212,745.92/x
  3. Step 3: Cross multiply
    365,724.95x = 504,497.30 × 212,745.92
  4. Step 4: Simplify right side
    365,724.95x = 107,329,742,226.02
  5. Step 5: Solve for x
    x = 107,329,742,226.02/365,724.95
  6. Step 6: Final answer
    x = 293,471.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.