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Finding the Fourth Proportional to 285,058.65, 393,422.67 and 164,176.41

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Solution

The fourth proportional to 285,058.65, 393,422.67 and 164,176.41 is: 226,587.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,058.65 : 393,422.67 = 164,176.41 : x
  2. Step 2: Convert to fraction form
    285,058.65/393,422.67 = 164,176.41/x
  3. Step 3: Cross multiply
    285,058.65x = 393,422.67 × 164,176.41
  4. Step 4: Simplify right side
    285,058.65x = 64,590,721,573.21
  5. Step 5: Solve for x
    x = 64,590,721,573.21/285,058.65
  6. Step 6: Final answer
    x = 226,587.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.