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Finding the Fourth Proportional to 462,175.92, 693,262.02 and 146,657.43

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Solution

The fourth proportional to 462,175.92, 693,262.02 and 146,657.43 is: 219,985.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,175.92 : 693,262.02 = 146,657.43 : x
  2. Step 2: Convert to fraction form
    462,175.92/693,262.02 = 146,657.43/x
  3. Step 3: Cross multiply
    462,175.92x = 693,262.02 × 146,657.43
  4. Step 4: Simplify right side
    462,175.92x = 101,672,026,169.81
  5. Step 5: Solve for x
    x = 101,672,026,169.81/462,175.92
  6. Step 6: Final answer
    x = 219,985.55

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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.