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Finding the Fourth Proportional to 294,808.10, 442,212.15 and 200,329.70

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Solution

The fourth proportional to 294,808.10, 442,212.15 and 200,329.70 is: 300,494.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,808.10 : 442,212.15 = 200,329.70 : x
  2. Step 2: Convert to fraction form
    294,808.10/442,212.15 = 200,329.70/x
  3. Step 3: Cross multiply
    294,808.10x = 442,212.15 × 200,329.70
  4. Step 4: Simplify right side
    294,808.10x = 88,588,227,345.86
  5. Step 5: Solve for x
    x = 88,588,227,345.86/294,808.10
  6. Step 6: Final answer
    x = 300,494.55

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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.