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Finding the Fourth Proportional to 314,637.39, 434,197.49 and 171,397.53

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Solution

The fourth proportional to 314,637.39, 434,197.49 and 171,397.53 is: 236,527.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,637.39 : 434,197.49 = 171,397.53 : x
  2. Step 2: Convert to fraction form
    314,637.39/434,197.49 = 171,397.53/x
  3. Step 3: Cross multiply
    314,637.39x = 434,197.49 × 171,397.53
  4. Step 4: Simplify right side
    314,637.39x = 74,420,376,461.21
  5. Step 5: Solve for x
    x = 74,420,376,461.21/314,637.39
  6. Step 6: Final answer
    x = 236,527.44

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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.