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Finding the Fourth Proportional to 376,842.97, 564,946.66 and 163,450.20

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Solution

The fourth proportional to 376,842.97, 564,946.66 and 163,450.20 is: 245,037.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,842.97 : 564,946.66 = 163,450.20 : x
  2. Step 2: Convert to fraction form
    376,842.97/564,946.66 = 163,450.20/x
  3. Step 3: Cross multiply
    376,842.97x = 564,946.66 × 163,450.20
  4. Step 4: Simplify right side
    376,842.97x = 92,340,644,566.33
  5. Step 5: Solve for x
    x = 92,340,644,566.33/376,842.97
  6. Step 6: Final answer
    x = 245,037.46

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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.