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Finding the Fourth Proportional to 465,957.60, 699,033.60 and 266,114.40

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Solution

The fourth proportional to 465,957.60, 699,033.60 and 266,114.40 is: 399,227.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,957.60 : 699,033.60 = 266,114.40 : x
  2. Step 2: Convert to fraction form
    465,957.60/699,033.60 = 266,114.40/x
  3. Step 3: Cross multiply
    465,957.60x = 699,033.60 × 266,114.40
  4. Step 4: Simplify right side
    465,957.60x = 186,022,907,043.84
  5. Step 5: Solve for x
    x = 186,022,907,043.84/465,957.60
  6. Step 6: Final answer
    x = 399,227.11

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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.