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Finding the Fourth Proportional to 464,160.70, 696,276.96 and 197,922.88

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Solution

The fourth proportional to 464,160.70, 696,276.96 and 197,922.88 is: 296,899.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,160.70 : 696,276.96 = 197,922.88 : x
  2. Step 2: Convert to fraction form
    464,160.70/696,276.96 = 197,922.88/x
  3. Step 3: Cross multiply
    464,160.70x = 696,276.96 × 197,922.88
  4. Step 4: Simplify right side
    464,160.70x = 137,809,141,200.85
  5. Step 5: Solve for x
    x = 137,809,141,200.85/464,160.70
  6. Step 6: Final answer
    x = 296,899.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.