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Finding the Fourth Proportional to 647,014.70, 971,396.85 and 410,818.70

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Solution

The fourth proportional to 647,014.70, 971,396.85 and 410,818.70 is: 616,783.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,014.70 : 971,396.85 = 410,818.70 : x
  2. Step 2: Convert to fraction form
    647,014.70/971,396.85 = 410,818.70/x
  3. Step 3: Cross multiply
    647,014.70x = 971,396.85 × 410,818.70
  4. Step 4: Simplify right side
    647,014.70x = 399,067,991,101.10
  5. Step 5: Solve for x
    x = 399,067,991,101.10/647,014.70
  6. Step 6: Final answer
    x = 616,783.50

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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.