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Finding the Fourth Proportional to 410,380.64, 614,309.69 and 349,846.30

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Solution

The fourth proportional to 410,380.64, 614,309.69 and 349,846.30 is: 523,694.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,380.64 : 614,309.69 = 349,846.30 : x
  2. Step 2: Convert to fraction form
    410,380.64/614,309.69 = 349,846.30/x
  3. Step 3: Cross multiply
    410,380.64x = 614,309.69 × 349,846.30
  4. Step 4: Simplify right side
    410,380.64x = 214,913,971,439.49
  5. Step 5: Solve for x
    x = 214,913,971,439.49/410,380.64
  6. Step 6: Final answer
    x = 523,694.23

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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.