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Finding the Fourth Proportional to 314,781.34, 434,385.59 and 171,538.30

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Solution

The fourth proportional to 314,781.34, 434,385.59 and 171,538.30 is: 236,715.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,781.34 : 434,385.59 = 171,538.30 : x
  2. Step 2: Convert to fraction form
    314,781.34/434,385.59 = 171,538.30/x
  3. Step 3: Cross multiply
    314,781.34x = 434,385.59 × 171,538.30
  4. Step 4: Simplify right side
    314,781.34x = 74,513,765,653.10
  5. Step 5: Solve for x
    x = 74,513,765,653.10/314,781.34
  6. Step 6: Final answer
    x = 236,715.96

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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.