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Finding the Fourth Proportional to 567,201.20, 849,999.90 and 314,593

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Solution

The fourth proportional to 567,201.20, 849,999.90 and 314,593 is: 471,444.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,201.20 : 849,999.90 = 314,593 : x
  2. Step 2: Convert to fraction form
    567,201.20/849,999.90 = 314,593/x
  3. Step 3: Cross multiply
    567,201.20x = 849,999.90 × 314,593
  4. Step 4: Simplify right side
    567,201.20x = 267,404,018,540.70
  5. Step 5: Solve for x
    x = 267,404,018,540.70/567,201.20
  6. Step 6: Final answer
    x = 471,444.73

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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.