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Finding the Fourth Proportional to 570,251.96, 854,921.23 and 285,796.49

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Solution

The fourth proportional to 570,251.96, 854,921.23 and 285,796.49 is: 428,465.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,251.96 : 854,921.23 = 285,796.49 : x
  2. Step 2: Convert to fraction form
    570,251.96/854,921.23 = 285,796.49/x
  3. Step 3: Cross multiply
    570,251.96x = 854,921.23 × 285,796.49
  4. Step 4: Simplify right side
    570,251.96x = 244,333,490,592.39
  5. Step 5: Solve for x
    x = 244,333,490,592.39/570,251.96
  6. Step 6: Final answer
    x = 428,465.85

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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.