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Finding the Fourth Proportional to 451,305.76, 677,060.80 and 151,778.10

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Solution

The fourth proportional to 451,305.76, 677,060.80 and 151,778.10 is: 227,701.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,305.76 : 677,060.80 = 151,778.10 : x
  2. Step 2: Convert to fraction form
    451,305.76/677,060.80 = 151,778.10/x
  3. Step 3: Cross multiply
    451,305.76x = 677,060.80 × 151,778.10
  4. Step 4: Simplify right side
    451,305.76x = 102,763,001,429.04
  5. Step 5: Solve for x
    x = 102,763,001,429.04/451,305.76
  6. Step 6: Final answer
    x = 227,701.51

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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.