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Finding the Fourth Proportional to 792,825.84, 1,189,362.96 and 260,226

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Solution

The fourth proportional to 792,825.84, 1,189,362.96 and 260,226 is: 390,379.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    792,825.84 : 1,189,362.96 = 260,226 : x
  2. Step 2: Convert to fraction form
    792,825.84/1,189,362.96 = 260,226/x
  3. Step 3: Cross multiply
    792,825.84x = 1,189,362.96 × 260,226
  4. Step 4: Simplify right side
    792,825.84x = 309,503,165,628.96
  5. Step 5: Solve for x
    x = 309,503,165,628.96/792,825.84
  6. Step 6: Final answer
    x = 390,379.77

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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.