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Finding the Fourth Proportional to 647,230.30, 970,689.74 and 197,955.06

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Solution

The fourth proportional to 647,230.30, 970,689.74 and 197,955.06 is: 296,884.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,230.30 : 970,689.74 = 197,955.06 : x
  2. Step 2: Convert to fraction form
    647,230.30/970,689.74 = 197,955.06/x
  3. Step 3: Cross multiply
    647,230.30x = 970,689.74 × 197,955.06
  4. Step 4: Simplify right side
    647,230.30x = 192,152,942,206.72
  5. Step 5: Solve for x
    x = 192,152,942,206.72/647,230.30
  6. Step 6: Final answer
    x = 296,884.96

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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.