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Finding the Fourth Proportional to 462,669.60, 694,023.60 and 147,117.60

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Solution

The fourth proportional to 462,669.60, 694,023.60 and 147,117.60 is: 220,682.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,669.60 : 694,023.60 = 147,117.60 : x
  2. Step 2: Convert to fraction form
    462,669.60/694,023.60 = 147,117.60/x
  3. Step 3: Cross multiply
    462,669.60x = 694,023.60 × 147,117.60
  4. Step 4: Simplify right side
    462,669.60x = 102,103,086,375.36
  5. Step 5: Solve for x
    x = 102,103,086,375.36/462,669.60
  6. Step 6: Final answer
    x = 220,682.51

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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.