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Finding the Fourth Proportional to 569,205.56, 785,519.91 and 311,096.85

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Solution

The fourth proportional to 569,205.56, 785,519.91 and 311,096.85 is: 429,322.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,205.56 : 785,519.91 = 311,096.85 : x
  2. Step 2: Convert to fraction form
    569,205.56/785,519.91 = 311,096.85/x
  3. Step 3: Cross multiply
    569,205.56x = 785,519.91 × 311,096.85
  4. Step 4: Simplify right side
    569,205.56x = 244,372,769,613.28
  5. Step 5: Solve for x
    x = 244,372,769,613.28/569,205.56
  6. Step 6: Final answer
    x = 429,322.53

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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.