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Finding the Fourth Proportional to 389,613.38, 537,661.22 and 217,533.98

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Solution

The fourth proportional to 389,613.38, 537,661.22 and 217,533.98 is: 300,193.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,613.38 : 537,661.22 = 217,533.98 : x
  2. Step 2: Convert to fraction form
    389,613.38/537,661.22 = 217,533.98/x
  3. Step 3: Cross multiply
    389,613.38x = 537,661.22 × 217,533.98
  4. Step 4: Simplify right side
    389,613.38x = 116,959,585,334.74
  5. Step 5: Solve for x
    x = 116,959,585,334.74/389,613.38
  6. Step 6: Final answer
    x = 300,193.97

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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.