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Finding the Fourth Proportional to 647,553.64, 971,260.80 and 174,286.84

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Solution

The fourth proportional to 647,553.64, 971,260.80 and 174,286.84 is: 261,411.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,553.64 : 971,260.80 = 174,286.84 : x
  2. Step 2: Convert to fraction form
    647,553.64/971,260.80 = 174,286.84/x
  3. Step 3: Cross multiply
    647,553.64x = 971,260.80 × 174,286.84
  4. Step 4: Simplify right side
    647,553.64x = 169,277,975,647.87
  5. Step 5: Solve for x
    x = 169,277,975,647.87/647,553.64
  6. Step 6: Final answer
    x = 261,411.51

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1.5x scale

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.