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Finding the Fourth Proportional to 647,239.77, 970,703.90 and 197,964.52

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Solution

The fourth proportional to 647,239.77, 970,703.90 and 197,964.52 is: 296,899.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,239.77 : 970,703.90 = 197,964.52 : x
  2. Step 2: Convert to fraction form
    647,239.77/970,703.90 = 197,964.52/x
  3. Step 3: Cross multiply
    647,239.77x = 970,703.90 × 197,964.52
  4. Step 4: Simplify right side
    647,239.77x = 192,164,928,209.05
  5. Step 5: Solve for x
    x = 192,164,928,209.05/647,239.77
  6. Step 6: Final answer
    x = 296,899.14

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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.