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Finding the Fourth Proportional to 462,994.80, 694,542 and 147,377.88

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Solution

The fourth proportional to 462,994.80, 694,542 and 147,377.88 is: 221,082.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,994.80 : 694,542 = 147,377.88 : x
  2. Step 2: Convert to fraction form
    462,994.80/694,542 = 147,377.88/x
  3. Step 3: Cross multiply
    462,994.80x = 694,542 × 147,377.88
  4. Step 4: Simplify right side
    462,994.80x = 102,360,127,530.96
  5. Step 5: Solve for x
    x = 102,360,127,530.96/462,994.80
  6. Step 6: Final answer
    x = 221,082.67

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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.