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Finding the Fourth Proportional to 685,786, 946,165.98 and 444,253.72

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Solution

The fourth proportional to 685,786, 946,165.98 and 444,253.72 is: 612,928.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,786 : 946,165.98 = 444,253.72 : x
  2. Step 2: Convert to fraction form
    685,786/946,165.98 = 444,253.72/x
  3. Step 3: Cross multiply
    685,786x = 946,165.98 × 444,253.72
  4. Step 4: Simplify right side
    685,786x = 420,337,756,352.45
  5. Step 5: Solve for x
    x = 420,337,756,352.45/685,786
  6. Step 6: Final answer
    x = 612,928.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.