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Finding the Fourth Proportional to 358,516.32, 494,781.44 and 205,568.74

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Solution

The fourth proportional to 358,516.32, 494,781.44 and 205,568.74 is: 283,701.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,516.32 : 494,781.44 = 205,568.74 : x
  2. Step 2: Convert to fraction form
    358,516.32/494,781.44 = 205,568.74/x
  3. Step 3: Cross multiply
    358,516.32x = 494,781.44 × 205,568.74
  4. Step 4: Simplify right side
    358,516.32x = 101,711,595,973.41
  5. Step 5: Solve for x
    x = 101,711,595,973.41/358,516.32
  6. Step 6: Final answer
    x = 283,701.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.