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Finding the Fourth Proportional to 519,496.20, 779,244.30 and 430,849.80

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Solution

The fourth proportional to 519,496.20, 779,244.30 and 430,849.80 is: 646,274.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,496.20 : 779,244.30 = 430,849.80 : x
  2. Step 2: Convert to fraction form
    519,496.20/779,244.30 = 430,849.80/x
  3. Step 3: Cross multiply
    519,496.20x = 779,244.30 × 430,849.80
  4. Step 4: Simplify right side
    519,496.20x = 335,737,250,806.14
  5. Step 5: Solve for x
    x = 335,737,250,806.14/519,496.20
  6. Step 6: Final answer
    x = 646,274.70

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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.