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Finding the Fourth Proportional to 412,234.79, 569,162.18 and 257,422.60

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Solution

The fourth proportional to 412,234.79, 569,162.18 and 257,422.60 is: 355,416.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,234.79 : 569,162.18 = 257,422.60 : x
  2. Step 2: Convert to fraction form
    412,234.79/569,162.18 = 257,422.60/x
  3. Step 3: Cross multiply
    412,234.79x = 569,162.18 × 257,422.60
  4. Step 4: Simplify right side
    412,234.79x = 146,515,208,197.27
  5. Step 5: Solve for x
    x = 146,515,208,197.27/412,234.79
  6. Step 6: Final answer
    x = 355,416.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.