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Finding the Fourth Proportional to 296,650.14, 409,306.26 and 175,770.54

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Solution

The fourth proportional to 296,650.14, 409,306.26 and 175,770.54 is: 242,521.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,650.14 : 409,306.26 = 175,770.54 : x
  2. Step 2: Convert to fraction form
    296,650.14/409,306.26 = 175,770.54/x
  3. Step 3: Cross multiply
    296,650.14x = 409,306.26 × 175,770.54
  4. Step 4: Simplify right side
    296,650.14x = 71,943,982,345.58
  5. Step 5: Solve for x
    x = 71,943,982,345.58/296,650.14
  6. Step 6: Final answer
    x = 242,521.32

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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.