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Finding the Fourth Proportional to 484,644.52, 727,084.20 and 152,220.52

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Solution

The fourth proportional to 484,644.52, 727,084.20 and 152,220.52 is: 228,367.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,644.52 : 727,084.20 = 152,220.52 : x
  2. Step 2: Convert to fraction form
    484,644.52/727,084.20 = 152,220.52/x
  3. Step 3: Cross multiply
    484,644.52x = 727,084.20 × 152,220.52
  4. Step 4: Simplify right side
    484,644.52x = 110,677,135,007.78
  5. Step 5: Solve for x
    x = 110,677,135,007.78/484,644.52
  6. Step 6: Final answer
    x = 228,367.66

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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.