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Finding the Fourth Proportional to 685,296.63, 946,138.24 and 440,380.71

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Solution

The fourth proportional to 685,296.63, 946,138.24 and 440,380.71 is: 608,000.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,296.63 : 946,138.24 = 440,380.71 : x
  2. Step 2: Convert to fraction form
    685,296.63/946,138.24 = 440,380.71/x
  3. Step 3: Cross multiply
    685,296.63x = 946,138.24 × 440,380.71
  4. Step 4: Simplify right side
    685,296.63x = 416,661,029,889.35
  5. Step 5: Solve for x
    x = 416,661,029,889.35/685,296.63
  6. Step 6: Final answer
    x = 608,000.99

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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.