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Finding the Fourth Proportional to 320,056.32, 441,686.64 and 176,825.60

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Solution

The fourth proportional to 320,056.32, 441,686.64 and 176,825.60 is: 244,024.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,056.32 : 441,686.64 = 176,825.60 : x
  2. Step 2: Convert to fraction form
    320,056.32/441,686.64 = 176,825.60/x
  3. Step 3: Cross multiply
    320,056.32x = 441,686.64 × 176,825.60
  4. Step 4: Simplify right side
    320,056.32x = 78,101,505,129.98
  5. Step 5: Solve for x
    x = 78,101,505,129.98/320,056.32
  6. Step 6: Final answer
    x = 244,024.26

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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.