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Finding the Fourth Proportional to 219,321.60, 328,326.30 and 193,077.60

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Solution

The fourth proportional to 219,321.60, 328,326.30 and 193,077.60 is: 289,038.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,321.60 : 328,326.30 = 193,077.60 : x
  2. Step 2: Convert to fraction form
    219,321.60/328,326.30 = 193,077.60/x
  3. Step 3: Cross multiply
    219,321.60x = 328,326.30 × 193,077.60
  4. Step 4: Simplify right side
    219,321.60x = 63,392,454,020.88
  5. Step 5: Solve for x
    x = 63,392,454,020.88/219,321.60
  6. Step 6: Final answer
    x = 289,038.81

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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.