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Finding the Fourth Proportional to 362,409.84, 500,375.78 and 226,504.87

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Solution

The fourth proportional to 362,409.84, 500,375.78 and 226,504.87 is: 312,733.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,409.84 : 500,375.78 = 226,504.87 : x
  2. Step 2: Convert to fraction form
    362,409.84/500,375.78 = 226,504.87/x
  3. Step 3: Cross multiply
    362,409.84x = 500,375.78 × 226,504.87
  4. Step 4: Simplify right side
    362,409.84x = 113,337,552,280.59
  5. Step 5: Solve for x
    x = 113,337,552,280.59/362,409.84
  6. Step 6: Final answer
    x = 312,733.10

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1.5x scale

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.