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Finding the Fourth Proportional to 451,858.67, 677,315.10 and 152,235.73

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Solution

The fourth proportional to 451,858.67, 677,315.10 and 152,235.73 is: 228,194.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,858.67 : 677,315.10 = 152,235.73 : x
  2. Step 2: Convert to fraction form
    451,858.67/677,315.10 = 152,235.73/x
  3. Step 3: Cross multiply
    451,858.67x = 677,315.10 × 152,235.73
  4. Step 4: Simplify right side
    451,858.67x = 103,111,558,688.52
  5. Step 5: Solve for x
    x = 103,111,558,688.52/451,858.67
  6. Step 6: Final answer
    x = 228,194.27

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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.