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Finding the Fourth Proportional to 685,314.38, 945,602.61 and 443,563.40

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Solution

The fourth proportional to 685,314.38, 945,602.61 and 443,563.40 is: 612,032.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,314.38 : 945,602.61 = 443,563.40 : x
  2. Step 2: Convert to fraction form
    685,314.38/945,602.61 = 443,563.40/x
  3. Step 3: Cross multiply
    685,314.38x = 945,602.61 × 443,563.40
  4. Step 4: Simplify right side
    685,314.38x = 419,434,704,012.46
  5. Step 5: Solve for x
    x = 419,434,704,012.46/685,314.38
  6. Step 6: Final answer
    x = 612,032.55

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Double scale
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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.