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Finding the Fourth Proportional to 257,734.29, 354,865.01 and 234,114.69

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Solution

The fourth proportional to 257,734.29, 354,865.01 and 234,114.69 is: 322,344.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,734.29 : 354,865.01 = 234,114.69 : x
  2. Step 2: Convert to fraction form
    257,734.29/354,865.01 = 234,114.69/x
  3. Step 3: Cross multiply
    257,734.29x = 354,865.01 × 234,114.69
  4. Step 4: Simplify right side
    257,734.29x = 83,079,110,637.42
  5. Step 5: Solve for x
    x = 83,079,110,637.42/257,734.29
  6. Step 6: Final answer
    x = 322,344.03

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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.