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Finding the Fourth Proportional to 399,796.84, 599,491.50 and 133,461.64

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Solution

The fourth proportional to 399,796.84, 599,491.50 and 133,461.64 is: 200,124.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,796.84 : 599,491.50 = 133,461.64 : x
  2. Step 2: Convert to fraction form
    399,796.84/599,491.50 = 133,461.64/x
  3. Step 3: Cross multiply
    399,796.84x = 599,491.50 × 133,461.64
  4. Step 4: Simplify right side
    399,796.84x = 80,009,118,756.06
  5. Step 5: Solve for x
    x = 80,009,118,756.06/399,796.84
  6. Step 6: Final answer
    x = 200,124.44

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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.