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Finding the Fourth Proportional to 744,616, 1,027,492.32 and 422,223.04

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Solution

The fourth proportional to 744,616, 1,027,492.32 and 422,223.04 is: 582,623.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    744,616 : 1,027,492.32 = 422,223.04 : x
  2. Step 2: Convert to fraction form
    744,616/1,027,492.32 = 422,223.04/x
  3. Step 3: Cross multiply
    744,616x = 1,027,492.32 × 422,223.04
  4. Step 4: Simplify right side
    744,616x = 433,830,930,927.05
  5. Step 5: Solve for x
    x = 433,830,930,927.05/744,616
  6. Step 6: Final answer
    x = 582,623.70

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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.