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Finding the Fourth Proportional to 636,288, 954,437.76 and 193,056

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Solution

The fourth proportional to 636,288, 954,437.76 and 193,056 is: 289,585.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    636,288 : 954,437.76 = 193,056 : x
  2. Step 2: Convert to fraction form
    636,288/954,437.76 = 193,056/x
  3. Step 3: Cross multiply
    636,288x = 954,437.76 × 193,056
  4. Step 4: Simplify right side
    636,288x = 184,259,936,194.56
  5. Step 5: Solve for x
    x = 184,259,936,194.56/636,288
  6. Step 6: Final answer
    x = 289,585.75

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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.