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Finding the Fourth Proportional to 432,084.58, 648,108.41 and 147,800.55

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Solution

The fourth proportional to 432,084.58, 648,108.41 and 147,800.55 is: 221,694.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,084.58 : 648,108.41 = 147,800.55 : x
  2. Step 2: Convert to fraction form
    432,084.58/648,108.41 = 147,800.55/x
  3. Step 3: Cross multiply
    432,084.58x = 648,108.41 × 147,800.55
  4. Step 4: Simplify right side
    432,084.58x = 95,790,780,708.40
  5. Step 5: Solve for x
    x = 95,790,780,708.40/432,084.58
  6. Step 6: Final answer
    x = 221,694.51

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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.