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Finding the Fourth Proportional to 415,093.60, 622,640.40 and 362,605.60

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Solution

The fourth proportional to 415,093.60, 622,640.40 and 362,605.60 is: 543,908.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,093.60 : 622,640.40 = 362,605.60 : x
  2. Step 2: Convert to fraction form
    415,093.60/622,640.40 = 362,605.60/x
  3. Step 3: Cross multiply
    415,093.60x = 622,640.40 × 362,605.60
  4. Step 4: Simplify right side
    415,093.60x = 225,772,895,826.24
  5. Step 5: Solve for x
    x = 225,772,895,826.24/415,093.60
  6. Step 6: Final answer
    x = 543,908.40

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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.