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Finding the Fourth Proportional to 451,857.86, 677,313.87 and 152,234.92

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Solution

The fourth proportional to 451,857.86, 677,313.87 and 152,234.92 is: 228,193.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,857.86 : 677,313.87 = 152,234.92 : x
  2. Step 2: Convert to fraction form
    451,857.86/677,313.87 = 152,234.92/x
  3. Step 3: Cross multiply
    451,857.86x = 677,313.87 × 152,234.92
  4. Step 4: Simplify right side
    451,857.86x = 103,110,822,814.34
  5. Step 5: Solve for x
    x = 103,110,822,814.34/451,857.86
  6. Step 6: Final answer
    x = 228,193.05

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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.