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Finding the Fourth Proportional to 451,833.81, 677,553.84 and 152,258.55

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Solution

The fourth proportional to 451,833.81, 677,553.84 and 152,258.55 is: 228,321.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,833.81 : 677,553.84 = 152,258.55 : x
  2. Step 2: Convert to fraction form
    451,833.81/677,553.84 = 152,258.55/x
  3. Step 3: Cross multiply
    451,833.81x = 677,553.84 × 152,258.55
  4. Step 4: Simplify right side
    451,833.81x = 103,163,365,225.33
  5. Step 5: Solve for x
    x = 103,163,365,225.33/451,833.81
  6. Step 6: Final answer
    x = 228,321.48

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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.