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Finding the Fourth Proportional to 362,596.86, 500,354.33 and 209,644.87

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Solution

The fourth proportional to 362,596.86, 500,354.33 and 209,644.87 is: 289,292.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,596.86 : 500,354.33 = 209,644.87 : x
  2. Step 2: Convert to fraction form
    362,596.86/500,354.33 = 209,644.87/x
  3. Step 3: Cross multiply
    362,596.86x = 500,354.33 × 209,644.87
  4. Step 4: Simplify right side
    362,596.86x = 104,896,718,466.79
  5. Step 5: Solve for x
    x = 104,896,718,466.79/362,596.86
  6. Step 6: Final answer
    x = 289,292.96

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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.