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Finding the Fourth Proportional to 362,644.92, 500,306.64 and 209,654.96

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Solution

The fourth proportional to 362,644.92, 500,306.64 and 209,654.96 is: 289,240.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,644.92 : 500,306.64 = 209,654.96 : x
  2. Step 2: Convert to fraction form
    362,644.92/500,306.64 = 209,654.96/x
  3. Step 3: Cross multiply
    362,644.92x = 500,306.64 × 209,654.96
  4. Step 4: Simplify right side
    362,644.92x = 104,891,768,596.93
  5. Step 5: Solve for x
    x = 104,891,768,596.93/362,644.92
  6. Step 6: Final answer
    x = 289,240.97

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1.5x scale

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.