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Finding the Fourth Proportional to 468,296.64, 701,735.40 and 309,957.84

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Solution

The fourth proportional to 468,296.64, 701,735.40 and 309,957.84 is: 464,467.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,296.64 : 701,735.40 = 309,957.84 : x
  2. Step 2: Convert to fraction form
    468,296.64/701,735.40 = 309,957.84/x
  3. Step 3: Cross multiply
    468,296.64x = 701,735.40 × 309,957.84
  4. Step 4: Simplify right side
    468,296.64x = 217,508,388,835.54
  5. Step 5: Solve for x
    x = 217,508,388,835.54/468,296.64
  6. Step 6: Final answer
    x = 464,467.11

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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.