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Finding the Fourth Proportional to 644,461.40, 966,873.09 and 189,063.38

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Solution

The fourth proportional to 644,461.40, 966,873.09 and 189,063.38 is: 283,648.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,461.40 : 966,873.09 = 189,063.38 : x
  2. Step 2: Convert to fraction form
    644,461.40/966,873.09 = 189,063.38/x
  3. Step 3: Cross multiply
    644,461.40x = 966,873.09 × 189,063.38
  4. Step 4: Simplify right side
    644,461.40x = 182,800,289,592.08
  5. Step 5: Solve for x
    x = 182,800,289,592.08/644,461.40
  6. Step 6: Final answer
    x = 283,648.16

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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.