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Finding the Fourth Proportional to 358,609.28, 537,998.16 and 200,946.56

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Solution

The fourth proportional to 358,609.28, 537,998.16 and 200,946.56 is: 301,467.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,609.28 : 537,998.16 = 200,946.56 : x
  2. Step 2: Convert to fraction form
    358,609.28/537,998.16 = 200,946.56/x
  3. Step 3: Cross multiply
    358,609.28x = 537,998.16 × 200,946.56
  4. Step 4: Simplify right side
    358,609.28x = 108,108,879,538.33
  5. Step 5: Solve for x
    x = 108,108,879,538.33/358,609.28
  6. Step 6: Final answer
    x = 301,467.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.