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Finding the Fourth Proportional to 744,486, 1,027,391.16 and 422,093.04

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Solution

The fourth proportional to 744,486, 1,027,391.16 and 422,093.04 is: 582,488.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    744,486 : 1,027,391.16 = 422,093.04 : x
  2. Step 2: Convert to fraction form
    744,486/1,027,391.16 = 422,093.04/x
  3. Step 3: Cross multiply
    744,486x = 1,027,391.16 × 422,093.04
  4. Step 4: Simplify right side
    744,486x = 433,654,657,993.53
  5. Step 5: Solve for x
    x = 433,654,657,993.53/744,486
  6. Step 6: Final answer
    x = 582,488.67

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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.