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Finding the Fourth Proportional to 640,589.08, 884,013.24 and 354,109

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Solution

The fourth proportional to 640,589.08, 884,013.24 and 354,109 is: 488,670.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,589.08 : 884,013.24 = 354,109 : x
  2. Step 2: Convert to fraction form
    640,589.08/884,013.24 = 354,109/x
  3. Step 3: Cross multiply
    640,589.08x = 884,013.24 × 354,109
  4. Step 4: Simplify right side
    640,589.08x = 313,037,044,403.16
  5. Step 5: Solve for x
    x = 313,037,044,403.16/640,589.08
  6. Step 6: Final answer
    x = 488,670.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.