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Finding the Fourth Proportional to 512,004.20, 768,006.30 and 429,060.20

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Solution

The fourth proportional to 512,004.20, 768,006.30 and 429,060.20 is: 643,590.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,004.20 : 768,006.30 = 429,060.20 : x
  2. Step 2: Convert to fraction form
    512,004.20/768,006.30 = 429,060.20/x
  3. Step 3: Cross multiply
    512,004.20x = 768,006.30 × 429,060.20
  4. Step 4: Simplify right side
    512,004.20x = 329,520,936,679.26
  5. Step 5: Solve for x
    x = 329,520,936,679.26/512,004.20
  6. Step 6: Final answer
    x = 643,590.30

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Similar ratio
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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.