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Finding the Fourth Proportional to 294,736.32, 406,736.64 and 160,600.32

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Solution

The fourth proportional to 294,736.32, 406,736.64 and 160,600.32 is: 221,628.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,736.32 : 406,736.64 = 160,600.32 : x
  2. Step 2: Convert to fraction form
    294,736.32/406,736.64 = 160,600.32/x
  3. Step 3: Cross multiply
    294,736.32x = 406,736.64 × 160,600.32
  4. Step 4: Simplify right side
    294,736.32x = 65,322,034,539.72
  5. Step 5: Solve for x
    x = 65,322,034,539.72/294,736.32
  6. Step 6: Final answer
    x = 221,628.72

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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.