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Finding the Fourth Proportional to 499,396.32, 749,194.92 and 183,846.24

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Solution

The fourth proportional to 499,396.32, 749,194.92 and 183,846.24 is: 275,806.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,396.32 : 749,194.92 = 183,846.24 : x
  2. Step 2: Convert to fraction form
    499,396.32/749,194.92 = 183,846.24/x
  3. Step 3: Cross multiply
    499,396.32x = 749,194.92 × 183,846.24
  4. Step 4: Simplify right side
    499,396.32x = 137,736,669,069.10
  5. Step 5: Solve for x
    x = 137,736,669,069.10/499,396.32
  6. Step 6: Final answer
    x = 275,806.34

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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.