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Finding the Fourth Proportional to 430,437.97, 645,906.45 and 217,222.55

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Solution

The fourth proportional to 430,437.97, 645,906.45 and 217,222.55 is: 325,959.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,437.97 : 645,906.45 = 217,222.55 : x
  2. Step 2: Convert to fraction form
    430,437.97/645,906.45 = 217,222.55/x
  3. Step 3: Cross multiply
    430,437.97x = 645,906.45 × 217,222.55
  4. Step 4: Simplify right side
    430,437.97x = 140,305,448,400.32
  5. Step 5: Solve for x
    x = 140,305,448,400.32/430,437.97
  6. Step 6: Final answer
    x = 325,959.74

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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.