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Finding the Fourth Proportional to 462,496.92, 693,597.75 and 146,880.02

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Solution

The fourth proportional to 462,496.92, 693,597.75 and 146,880.02 is: 220,273.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,496.92 : 693,597.75 = 146,880.02 : x
  2. Step 2: Convert to fraction form
    462,496.92/693,597.75 = 146,880.02/x
  3. Step 3: Cross multiply
    462,496.92x = 693,597.75 × 146,880.02
  4. Step 4: Simplify right side
    462,496.92x = 101,875,647,923.97
  5. Step 5: Solve for x
    x = 101,875,647,923.97/462,496.92
  6. Step 6: Final answer
    x = 220,273.14

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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.