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Finding the Fourth Proportional to 362,596.28, 500,353.49 and 209,644.29

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Solution

The fourth proportional to 362,596.28, 500,353.49 and 209,644.29 is: 289,292.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,596.28 : 500,353.49 = 209,644.29 : x
  2. Step 2: Convert to fraction form
    362,596.28/500,353.49 = 209,644.29/x
  3. Step 3: Cross multiply
    362,596.28x = 500,353.49 × 209,644.29
  4. Step 4: Simplify right side
    362,596.28x = 104,896,252,684.18
  5. Step 5: Solve for x
    x = 104,896,252,684.18/362,596.28
  6. Step 6: Final answer
    x = 289,292.14

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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.