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Finding the Fourth Proportional to 362,592.30, 500,348.04 and 209,640.30

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Solution

The fourth proportional to 362,592.30, 500,348.04 and 209,640.30 is: 289,286.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,592.30 : 500,348.04 = 209,640.30 : x
  2. Step 2: Convert to fraction form
    362,592.30/500,348.04 = 209,640.30/x
  3. Step 3: Cross multiply
    362,592.30x = 500,348.04 × 209,640.30
  4. Step 4: Simplify right side
    362,592.30x = 104,893,113,210.01
  5. Step 5: Solve for x
    x = 104,893,113,210.01/362,592.30
  6. Step 6: Final answer
    x = 289,286.65

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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.