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Finding the Fourth Proportional to 384,532.88, 530,889.16 and 263,872.40

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Solution

The fourth proportional to 384,532.88, 530,889.16 and 263,872.40 is: 364,304.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,532.88 : 530,889.16 = 263,872.40 : x
  2. Step 2: Convert to fraction form
    384,532.88/530,889.16 = 263,872.40/x
  3. Step 3: Cross multiply
    384,532.88x = 530,889.16 × 263,872.40
  4. Step 4: Simplify right side
    384,532.88x = 140,086,996,783.18
  5. Step 5: Solve for x
    x = 140,086,996,783.18/384,532.88
  6. Step 6: Final answer
    x = 364,304.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.