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Finding the Fourth Proportional to 644,810.40, 966,754.80 and 289,533.60

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Solution

The fourth proportional to 644,810.40, 966,754.80 and 289,533.60 is: 434,093.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,810.40 : 966,754.80 = 289,533.60 : x
  2. Step 2: Convert to fraction form
    644,810.40/966,754.80 = 289,533.60/x
  3. Step 3: Cross multiply
    644,810.40x = 966,754.80 × 289,533.60
  4. Step 4: Simplify right side
    644,810.40x = 279,907,997,561.28
  5. Step 5: Solve for x
    x = 279,907,997,561.28/644,810.40
  6. Step 6: Final answer
    x = 434,093.49

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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.