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Finding the Fourth Proportional to 296,516.28, 409,026.50 and 175,539.56

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Solution

The fourth proportional to 296,516.28, 409,026.50 and 175,539.56 is: 242,146.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,516.28 : 409,026.50 = 175,539.56 : x
  2. Step 2: Convert to fraction form
    296,516.28/409,026.50 = 175,539.56/x
  3. Step 3: Cross multiply
    296,516.28x = 409,026.50 × 175,539.56
  4. Step 4: Simplify right side
    296,516.28x = 71,800,331,838.34
  5. Step 5: Solve for x
    x = 71,800,331,838.34/296,516.28
  6. Step 6: Final answer
    x = 242,146.34

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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.