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Finding the Fourth Proportional to 647,656.60, 971,470.30 and 174,347.72

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Solution

The fourth proportional to 647,656.60, 971,470.30 and 174,347.72 is: 261,517.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,656.60 : 971,470.30 = 174,347.72 : x
  2. Step 2: Convert to fraction form
    647,656.60/971,470.30 = 174,347.72/x
  3. Step 3: Cross multiply
    647,656.60x = 971,470.30 × 174,347.72
  4. Step 4: Simplify right side
    647,656.60x = 169,373,631,852.72
  5. Step 5: Solve for x
    x = 169,373,631,852.72/647,656.60
  6. Step 6: Final answer
    x = 261,517.65

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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.