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Finding the Fourth Proportional to 399,213.40, 598,903.30 and 133,056.60

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Solution

The fourth proportional to 399,213.40, 598,903.30 and 133,056.60 is: 199,612.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,213.40 : 598,903.30 = 133,056.60 : x
  2. Step 2: Convert to fraction form
    399,213.40/598,903.30 = 133,056.60/x
  3. Step 3: Cross multiply
    399,213.40x = 598,903.30 × 133,056.60
  4. Step 4: Simplify right side
    399,213.40x = 79,688,036,826.78
  5. Step 5: Solve for x
    x = 79,688,036,826.78/399,213.40
  6. Step 6: Final answer
    x = 199,612.63

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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.