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Finding the Fourth Proportional to 470,462.43, 649,234.65 and 255,604.26

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Solution

The fourth proportional to 470,462.43, 649,234.65 and 255,604.26 is: 352,731.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,462.43 : 649,234.65 = 255,604.26 : x
  2. Step 2: Convert to fraction form
    470,462.43/649,234.65 = 255,604.26/x
  3. Step 3: Cross multiply
    470,462.43x = 649,234.65 × 255,604.26
  4. Step 4: Simplify right side
    470,462.43x = 165,947,142,279.61
  5. Step 5: Solve for x
    x = 165,947,142,279.61/470,462.43
  6. Step 6: Final answer
    x = 352,731.98

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Why These Related Problems?

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