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Finding the Fourth Proportional to 647,295.57, 971,051.94 and 197,911.13

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Solution

The fourth proportional to 647,295.57, 971,051.94 and 197,911.13 is: 296,899.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,295.57 : 971,051.94 = 197,911.13 : x
  2. Step 2: Convert to fraction form
    647,295.57/971,051.94 = 197,911.13/x
  3. Step 3: Cross multiply
    647,295.57x = 971,051.94 × 197,911.13
  4. Step 4: Simplify right side
    647,295.57x = 192,181,981,878.83
  5. Step 5: Solve for x
    x = 192,181,981,878.83/647,295.57
  6. Step 6: Final answer
    x = 296,899.89

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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.