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Finding the Fourth Proportional to 315,827.34, 435,834.54 and 172,588.26

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Solution

The fourth proportional to 315,827.34, 435,834.54 and 172,588.26 is: 238,167.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,827.34 : 435,834.54 = 172,588.26 : x
  2. Step 2: Convert to fraction form
    315,827.34/435,834.54 = 172,588.26/x
  3. Step 3: Cross multiply
    315,827.34x = 435,834.54 × 172,588.26
  4. Step 4: Simplify right side
    315,827.34x = 75,219,924,906.50
  5. Step 5: Solve for x
    x = 75,219,924,906.50/315,827.34
  6. Step 6: Final answer
    x = 238,167.87

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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.