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Finding the Fourth Proportional to 567,978.20, 851,243.70 and 301,866.20

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Solution

The fourth proportional to 567,978.20, 851,243.70 and 301,866.20 is: 452,414.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,978.20 : 851,243.70 = 301,866.20 : x
  2. Step 2: Convert to fraction form
    567,978.20/851,243.70 = 301,866.20/x
  3. Step 3: Cross multiply
    567,978.20x = 851,243.70 × 301,866.20
  4. Step 4: Simplify right side
    567,978.20x = 256,961,700,992.94
  5. Step 5: Solve for x
    x = 256,961,700,992.94/567,978.20
  6. Step 6: Final answer
    x = 452,414.72

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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.