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Finding the Fourth Proportional to 462,123.20, 693,184.80 and 146,604.80

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Solution

The fourth proportional to 462,123.20, 693,184.80 and 146,604.80 is: 219,907.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,123.20 : 693,184.80 = 146,604.80 : x
  2. Step 2: Convert to fraction form
    462,123.20/693,184.80 = 146,604.80/x
  3. Step 3: Cross multiply
    462,123.20x = 693,184.80 × 146,604.80
  4. Step 4: Simplify right side
    462,123.20x = 101,624,218,967.04
  5. Step 5: Solve for x
    x = 101,624,218,967.04/462,123.20
  6. Step 6: Final answer
    x = 219,907.20

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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.