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Finding the Fourth Proportional to 315,828.34, 435,835.92 and 172,589.26

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Solution

The fourth proportional to 315,828.34, 435,835.92 and 172,589.26 is: 238,169.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,828.34 : 435,835.92 = 172,589.26 : x
  2. Step 2: Convert to fraction form
    315,828.34/435,835.92 = 172,589.26/x
  3. Step 3: Cross multiply
    315,828.34x = 435,835.92 × 172,589.26
  4. Step 4: Simplify right side
    315,828.34x = 75,220,598,914.22
  5. Step 5: Solve for x
    x = 75,220,598,914.22/315,828.34
  6. Step 6: Final answer
    x = 238,169.25

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