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Finding the Fourth Proportional to 296,321, 408,925.86 and 162,187.88

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Solution

The fourth proportional to 296,321, 408,925.86 and 162,187.88 is: 223,820.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,321 : 408,925.86 = 162,187.88 : x
  2. Step 2: Convert to fraction form
    296,321/408,925.86 = 162,187.88/x
  3. Step 3: Cross multiply
    296,321x = 408,925.86 × 162,187.88
  4. Step 4: Simplify right side
    296,321x = 66,322,818,310.58
  5. Step 5: Solve for x
    x = 66,322,818,310.58/296,321
  6. Step 6: Final answer
    x = 223,820.85

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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.