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Finding the Fourth Proportional to 294,505.39, 406,408.35 and 173,654.20

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Solution

The fourth proportional to 294,505.39, 406,408.35 and 173,654.20 is: 239,637.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,505.39 : 406,408.35 = 173,654.20 : x
  2. Step 2: Convert to fraction form
    294,505.39/406,408.35 = 173,654.20/x
  3. Step 3: Cross multiply
    294,505.39x = 406,408.35 × 173,654.20
  4. Step 4: Simplify right side
    294,505.39x = 70,574,516,892.57
  5. Step 5: Solve for x
    x = 70,574,516,892.57/294,505.39
  6. Step 6: Final answer
    x = 239,637.44

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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.