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Finding the Fourth Proportional to 462,912.40, 694,368.60 and 147,401.20

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Solution

The fourth proportional to 462,912.40, 694,368.60 and 147,401.20 is: 221,101.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,912.40 : 694,368.60 = 147,401.20 : x
  2. Step 2: Convert to fraction form
    462,912.40/694,368.60 = 147,401.20/x
  3. Step 3: Cross multiply
    462,912.40x = 694,368.60 × 147,401.20
  4. Step 4: Simplify right side
    462,912.40x = 102,350,764,882.32
  5. Step 5: Solve for x
    x = 102,350,764,882.32/462,912.40
  6. Step 6: Final answer
    x = 221,101.80

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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.