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Finding the Fourth Proportional to 433,224.10, 650,155.47 and 205,520.46

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Solution

The fourth proportional to 433,224.10, 650,155.47 and 205,520.46 is: 308,432.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,224.10 : 650,155.47 = 205,520.46 : x
  2. Step 2: Convert to fraction form
    433,224.10/650,155.47 = 205,520.46/x
  3. Step 3: Cross multiply
    433,224.10x = 650,155.47 × 205,520.46
  4. Step 4: Simplify right side
    433,224.10x = 133,620,251,265.92
  5. Step 5: Solve for x
    x = 133,620,251,265.92/433,224.10
  6. Step 6: Final answer
    x = 308,432.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.