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Finding the Fourth Proportional to 559,902.69, 840,202.34 and 227,478.69

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Solution

The fourth proportional to 559,902.69, 840,202.34 and 227,478.69 is: 341,359.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,902.69 : 840,202.34 = 227,478.69 : x
  2. Step 2: Convert to fraction form
    559,902.69/840,202.34 = 227,478.69/x
  3. Step 3: Cross multiply
    559,902.69x = 840,202.34 × 227,478.69
  4. Step 4: Simplify right side
    559,902.69x = 191,128,126,500.74
  5. Step 5: Solve for x
    x = 191,128,126,500.74/559,902.69
  6. Step 6: Final answer
    x = 341,359.54

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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.