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Finding the Fourth Proportional to 301,812.48, 416,513.34 and 172,771.92

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Solution

The fourth proportional to 301,812.48, 416,513.34 and 172,771.92 is: 238,432.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,812.48 : 416,513.34 = 172,771.92 : x
  2. Step 2: Convert to fraction form
    301,812.48/416,513.34 = 172,771.92/x
  3. Step 3: Cross multiply
    301,812.48x = 416,513.34 × 172,771.92
  4. Step 4: Simplify right side
    301,812.48x = 71,961,809,457.41
  5. Step 5: Solve for x
    x = 71,961,809,457.41/301,812.48
  6. Step 6: Final answer
    x = 238,432.19

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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.