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Finding the Fourth Proportional to 470,694.14, 649,558.74 and 255,833.64

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Solution

The fourth proportional to 470,694.14, 649,558.74 and 255,833.64 is: 353,050.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,694.14 : 649,558.74 = 255,833.64 : x
  2. Step 2: Convert to fraction form
    470,694.14/649,558.74 = 255,833.64/x
  3. Step 3: Cross multiply
    470,694.14x = 649,558.74 × 255,833.64
  4. Step 4: Simplify right side
    470,694.14x = 166,178,977,807.39
  5. Step 5: Solve for x
    x = 166,178,977,807.39/470,694.14
  6. Step 6: Final answer
    x = 353,050.88

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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.