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Finding the Fourth Proportional to 647,971.31, 971,846.15 and 174,545.93

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Solution

The fourth proportional to 647,971.31, 971,846.15 and 174,545.93 is: 261,789.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,971.31 : 971,846.15 = 174,545.93 : x
  2. Step 2: Convert to fraction form
    647,971.31/971,846.15 = 174,545.93/x
  3. Step 3: Cross multiply
    647,971.31x = 971,846.15 × 174,545.93
  4. Step 4: Simplify right side
    647,971.31x = 169,631,784,336.71
  5. Step 5: Solve for x
    x = 169,631,784,336.71/647,971.31
  6. Step 6: Final answer
    x = 261,789.04

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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.