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Finding the Fourth Proportional to 320,440.56, 480,193.32 and 180,238.32

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Solution

The fourth proportional to 320,440.56, 480,193.32 and 180,238.32 is: 270,094.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,440.56 : 480,193.32 = 180,238.32 : x
  2. Step 2: Convert to fraction form
    320,440.56/480,193.32 = 180,238.32/x
  3. Step 3: Cross multiply
    320,440.56x = 480,193.32 × 180,238.32
  4. Step 4: Simplify right side
    320,440.56x = 86,549,237,272.02
  5. Step 5: Solve for x
    x = 86,549,237,272.02/320,440.56
  6. Step 6: Final answer
    x = 270,094.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.