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Finding the Fourth Proportional to 382,898.34, 573,829.92 and 276,464.34

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Solution

The fourth proportional to 382,898.34, 573,829.92 and 276,464.34 is: 414,322.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,898.34 : 573,829.92 = 276,464.34 : x
  2. Step 2: Convert to fraction form
    382,898.34/573,829.92 = 276,464.34/x
  3. Step 3: Cross multiply
    382,898.34x = 573,829.92 × 276,464.34
  4. Step 4: Simplify right side
    382,898.34x = 158,643,510,105.05
  5. Step 5: Solve for x
    x = 158,643,510,105.05/382,898.34
  6. Step 6: Final answer
    x = 414,322.79

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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.