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Finding the Fourth Proportional to 512,330.20, 768,584.40 and 212,646.40

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Solution

The fourth proportional to 512,330.20, 768,584.40 and 212,646.40 is: 319,006.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,330.20 : 768,584.40 = 212,646.40 : x
  2. Step 2: Convert to fraction form
    512,330.20/768,584.40 = 212,646.40/x
  3. Step 3: Cross multiply
    512,330.20x = 768,584.40 × 212,646.40
  4. Step 4: Simplify right side
    512,330.20x = 163,436,705,756.16
  5. Step 5: Solve for x
    x = 163,436,705,756.16/512,330.20
  6. Step 6: Final answer
    x = 319,006.58

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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.