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Finding the Fourth Proportional to 297,962.06, 410,785.18 and 202,302.70

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Solution

The fourth proportional to 297,962.06, 410,785.18 and 202,302.70 is: 278,904.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,962.06 : 410,785.18 = 202,302.70 : x
  2. Step 2: Convert to fraction form
    297,962.06/410,785.18 = 202,302.70/x
  3. Step 3: Cross multiply
    297,962.06x = 410,785.18 × 202,302.70
  4. Step 4: Simplify right side
    297,962.06x = 83,102,951,033.99
  5. Step 5: Solve for x
    x = 83,102,951,033.99/297,962.06
  6. Step 6: Final answer
    x = 278,904.47

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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.