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Finding the Fourth Proportional to 644,841.40, 966,801.30 and 289,564.60

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Solution

The fourth proportional to 644,841.40, 966,801.30 and 289,564.60 is: 434,139.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,841.40 : 966,801.30 = 289,564.60 : x
  2. Step 2: Convert to fraction form
    644,841.40/966,801.30 = 289,564.60/x
  3. Step 3: Cross multiply
    644,841.40x = 966,801.30 × 289,564.60
  4. Step 4: Simplify right side
    644,841.40x = 279,951,431,713.98
  5. Step 5: Solve for x
    x = 279,951,431,713.98/644,841.40
  6. Step 6: Final answer
    x = 434,139.98

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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.