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Finding the Fourth Proportional to 314,792.25, 434,400.61 and 171,549.21

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Solution

The fourth proportional to 314,792.25, 434,400.61 and 171,549.21 is: 236,730.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,792.25 : 434,400.61 = 171,549.21 : x
  2. Step 2: Convert to fraction form
    314,792.25/434,400.61 = 171,549.21/x
  3. Step 3: Cross multiply
    314,792.25x = 434,400.61 × 171,549.21
  4. Step 4: Simplify right side
    314,792.25x = 74,521,081,469.02
  5. Step 5: Solve for x
    x = 74,521,081,469.02/314,792.25
  6. Step 6: Final answer
    x = 236,730.99

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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.