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Finding the Fourth Proportional to 647,023.77, 970,535.66 and 197,745.93

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Solution

The fourth proportional to 647,023.77, 970,535.66 and 197,745.93 is: 296,618.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,023.77 : 970,535.66 = 197,745.93 : x
  2. Step 2: Convert to fraction form
    647,023.77/970,535.66 = 197,745.93/x
  3. Step 3: Cross multiply
    647,023.77x = 970,535.66 × 197,745.93
  4. Step 4: Simplify right side
    647,023.77x = 191,919,475,696.13
  5. Step 5: Solve for x
    x = 191,919,475,696.13/647,023.77
  6. Step 6: Final answer
    x = 296,618.90

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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.