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Finding the Fourth Proportional to 462,546.10, 693,929.58 and 147,003.58

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Solution

The fourth proportional to 462,546.10, 693,929.58 and 147,003.58 is: 220,540.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,546.10 : 693,929.58 = 147,003.58 : x
  2. Step 2: Convert to fraction form
    462,546.10/693,929.58 = 147,003.58/x
  3. Step 3: Cross multiply
    462,546.10x = 693,929.58 × 147,003.58
  4. Step 4: Simplify right side
    462,546.10x = 102,010,132,527.90
  5. Step 5: Solve for x
    x = 102,010,132,527.90/462,546.10
  6. Step 6: Final answer
    x = 220,540.47

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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.