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Finding the Fourth Proportional to 415,823.31, 573,833.36 and 234,536.74

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Solution

The fourth proportional to 415,823.31, 573,833.36 and 234,536.74 is: 323,659.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,823.31 : 573,833.36 = 234,536.74 : x
  2. Step 2: Convert to fraction form
    415,823.31/573,833.36 = 234,536.74/x
  3. Step 3: Cross multiply
    415,823.31x = 573,833.36 × 234,536.74
  4. Step 4: Simplify right side
    415,823.31x = 134,585,004,709.41
  5. Step 5: Solve for x
    x = 134,585,004,709.41/415,823.31
  6. Step 6: Final answer
    x = 323,659.12

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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.