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Finding the Fourth Proportional to 295,481.27, 442,585.29 and 200,188.64

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Solution

The fourth proportional to 295,481.27, 442,585.29 and 200,188.64 is: 299,851.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,481.27 : 442,585.29 = 200,188.64 : x
  2. Step 2: Convert to fraction form
    295,481.27/442,585.29 = 200,188.64/x
  3. Step 3: Cross multiply
    295,481.27x = 442,585.29 × 200,188.64
  4. Step 4: Simplify right side
    295,481.27x = 88,600,547,289.11
  5. Step 5: Solve for x
    x = 88,600,547,289.11/295,481.27
  6. Step 6: Final answer
    x = 299,851.65

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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.