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Finding the Fourth Proportional to 470,813.58, 649,735.56 and 255,968.10

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Solution

The fourth proportional to 470,813.58, 649,735.56 and 255,968.10 is: 353,242.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,813.58 : 649,735.56 = 255,968.10 : x
  2. Step 2: Convert to fraction form
    470,813.58/649,735.56 = 255,968.10/x
  3. Step 3: Cross multiply
    470,813.58x = 649,735.56 × 255,968.10
  4. Step 4: Simplify right side
    470,813.58x = 166,311,576,795.64
  5. Step 5: Solve for x
    x = 166,311,576,795.64/470,813.58
  6. Step 6: Final answer
    x = 353,242.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.