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Finding the Fourth Proportional to 589,767, 884,986.49 and 229,891.02

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Solution

The fourth proportional to 589,767, 884,986.49 and 229,891.02 is: 344,967.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,767 : 884,986.49 = 229,891.02 : x
  2. Step 2: Convert to fraction form
    589,767/884,986.49 = 229,891.02/x
  3. Step 3: Cross multiply
    589,767x = 884,986.49 × 229,891.02
  4. Step 4: Simplify right side
    589,767x = 203,450,446,872.32
  5. Step 5: Solve for x
    x = 203,450,446,872.32/589,767
  6. Step 6: Final answer
    x = 344,967.50

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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.