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Finding the Fourth Proportional to 427,621.30, 590,077.32 and 255,505

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Solution

The fourth proportional to 427,621.30, 590,077.32 and 255,505 is: 352,572.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,621.30 : 590,077.32 = 255,505 : x
  2. Step 2: Convert to fraction form
    427,621.30/590,077.32 = 255,505/x
  3. Step 3: Cross multiply
    427,621.30x = 590,077.32 × 255,505
  4. Step 4: Simplify right side
    427,621.30x = 150,767,705,646.60
  5. Step 5: Solve for x
    x = 150,767,705,646.60/427,621.30
  6. Step 6: Final answer
    x = 352,572.96

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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.