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Finding the Fourth Proportional to 462,981.99, 694,500.11 and 178,674.03

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Solution

The fourth proportional to 462,981.99, 694,500.11 and 178,674.03 is: 268,021.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,981.99 : 694,500.11 = 178,674.03 : x
  2. Step 2: Convert to fraction form
    462,981.99/694,500.11 = 178,674.03/x
  3. Step 3: Cross multiply
    462,981.99x = 694,500.11 × 178,674.03
  4. Step 4: Simplify right side
    462,981.99x = 124,089,132,595.77
  5. Step 5: Solve for x
    x = 124,089,132,595.77/462,981.99
  6. Step 6: Final answer
    x = 268,021.51

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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.