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Finding the Fourth Proportional to 362,591.30, 500,346.66 and 209,639.30

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Solution

The fourth proportional to 362,591.30, 500,346.66 and 209,639.30 is: 289,285.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,591.30 : 500,346.66 = 209,639.30 : x
  2. Step 2: Convert to fraction form
    362,591.30/500,346.66 = 209,639.30/x
  3. Step 3: Cross multiply
    362,591.30x = 500,346.66 × 209,639.30
  4. Step 4: Simplify right side
    362,591.30x = 104,892,324,024.46
  5. Step 5: Solve for x
    x = 104,892,324,024.46/362,591.30
  6. Step 6: Final answer
    x = 289,285.28

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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.