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Finding the Fourth Proportional to 431,722.40, 647,602.80 and 147,408.80

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Solution

The fourth proportional to 431,722.40, 647,602.80 and 147,408.80 is: 221,119.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,722.40 : 647,602.80 = 147,408.80 : x
  2. Step 2: Convert to fraction form
    431,722.40/647,602.80 = 147,408.80/x
  3. Step 3: Cross multiply
    431,722.40x = 647,602.80 × 147,408.80
  4. Step 4: Simplify right side
    431,722.40x = 95,462,351,624.64
  5. Step 5: Solve for x
    x = 95,462,351,624.64/431,722.40
  6. Step 6: Final answer
    x = 221,119.76

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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.