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Finding the Fourth Proportional to 462,173.41, 693,258.29 and 146,654.92

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Solution

The fourth proportional to 462,173.41, 693,258.29 and 146,654.92 is: 219,981.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,173.41 : 693,258.29 = 146,654.92 : x
  2. Step 2: Convert to fraction form
    462,173.41/693,258.29 = 146,654.92/x
  3. Step 3: Cross multiply
    462,173.41x = 693,258.29 × 146,654.92
  4. Step 4: Simplify right side
    462,173.41x = 101,669,734,859.72
  5. Step 5: Solve for x
    x = 101,669,734,859.72/462,173.41
  6. Step 6: Final answer
    x = 219,981.79

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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.