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Finding the Fourth Proportional to 513,082.80, 768,749.40 and 423,853.20

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Solution

The fourth proportional to 513,082.80, 768,749.40 and 423,853.20 is: 635,057.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,082.80 : 768,749.40 = 423,853.20 : x
  2. Step 2: Convert to fraction form
    513,082.80/768,749.40 = 423,853.20/x
  3. Step 3: Cross multiply
    513,082.80x = 768,749.40 × 423,853.20
  4. Step 4: Simplify right side
    513,082.80x = 325,836,893,188.08
  5. Step 5: Solve for x
    x = 325,836,893,188.08/513,082.80
  6. Step 6: Final answer
    x = 635,057.14

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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.