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Finding the Fourth Proportional to 431,605.40, 647,561.70 and 416,245.40

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Solution

The fourth proportional to 431,605.40, 647,561.70 and 416,245.40 is: 624,516.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,605.40 : 647,561.70 = 416,245.40 : x
  2. Step 2: Convert to fraction form
    431,605.40/647,561.70 = 416,245.40/x
  3. Step 3: Cross multiply
    431,605.40x = 647,561.70 × 416,245.40
  4. Step 4: Simplify right side
    431,605.40x = 269,544,578,841.18
  5. Step 5: Solve for x
    x = 269,544,578,841.18/431,605.40
  6. Step 6: Final answer
    x = 624,516.23

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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.