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Finding the Fourth Proportional to 538,540.46, 743,182.10 and 296,823.16

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Solution

The fourth proportional to 538,540.46, 743,182.10 and 296,823.16 is: 409,613.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,540.46 : 743,182.10 = 296,823.16 : x
  2. Step 2: Convert to fraction form
    538,540.46/743,182.10 = 296,823.16/x
  3. Step 3: Cross multiply
    538,540.46x = 743,182.10 × 296,823.16
  4. Step 4: Simplify right side
    538,540.46x = 220,593,655,661.53
  5. Step 5: Solve for x
    x = 220,593,655,661.53/538,540.46
  6. Step 6: Final answer
    x = 409,613.90

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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.