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Finding the Fourth Proportional to 451,608.38, 677,412.56 and 152,063.88

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Solution

The fourth proportional to 451,608.38, 677,412.56 and 152,063.88 is: 228,095.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,608.38 : 677,412.56 = 152,063.88 : x
  2. Step 2: Convert to fraction form
    451,608.38/677,412.56 = 152,063.88/x
  3. Step 3: Cross multiply
    451,608.38x = 677,412.56 × 152,063.88
  4. Step 4: Simplify right side
    451,608.38x = 103,009,982,234.33
  5. Step 5: Solve for x
    x = 103,009,982,234.33/451,608.38
  6. Step 6: Final answer
    x = 228,095.82

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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.