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Finding the Fourth Proportional to 301,975.09, 416,726.37 and 172,915.56

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Solution

The fourth proportional to 301,975.09, 416,726.37 and 172,915.56 is: 238,623.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,975.09 : 416,726.37 = 172,915.56 : x
  2. Step 2: Convert to fraction form
    301,975.09/416,726.37 = 172,915.56/x
  3. Step 3: Cross multiply
    301,975.09x = 416,726.37 × 172,915.56
  4. Step 4: Simplify right side
    301,975.09x = 72,058,473,635.32
  5. Step 5: Solve for x
    x = 72,058,473,635.32/301,975.09
  6. Step 6: Final answer
    x = 238,623.90

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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.