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Finding the Fourth Proportional to 685,593.24, 946,006.20 and 430,764

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Solution

The fourth proportional to 685,593.24, 946,006.20 and 430,764 is: 594,383.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,593.24 : 946,006.20 = 430,764 : x
  2. Step 2: Convert to fraction form
    685,593.24/946,006.20 = 430,764/x
  3. Step 3: Cross multiply
    685,593.24x = 946,006.20 × 430,764
  4. Step 4: Simplify right side
    685,593.24x = 407,505,414,736.80
  5. Step 5: Solve for x
    x = 407,505,414,736.80/685,593.24
  6. Step 6: Final answer
    x = 594,383.65

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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.