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Finding the Fourth Proportional to 463,077.38, 694,139.78 and 210,533.56

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Solution

The fourth proportional to 463,077.38, 694,139.78 and 210,533.56 is: 315,583.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,077.38 : 694,139.78 = 210,533.56 : x
  2. Step 2: Convert to fraction form
    463,077.38/694,139.78 = 210,533.56/x
  3. Step 3: Cross multiply
    463,077.38x = 694,139.78 × 210,533.56
  4. Step 4: Simplify right side
    463,077.38x = 146,139,719,021.02
  5. Step 5: Solve for x
    x = 146,139,719,021.02/463,077.38
  6. Step 6: Final answer
    x = 315,583.80

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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.