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Finding the Fourth Proportional to 470,488.38, 649,200.87 and 279,496.86

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Solution

The fourth proportional to 470,488.38, 649,200.87 and 279,496.86 is: 385,662.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,488.38 : 649,200.87 = 279,496.86 : x
  2. Step 2: Convert to fraction form
    470,488.38/649,200.87 = 279,496.86/x
  3. Step 3: Cross multiply
    470,488.38x = 649,200.87 × 279,496.86
  4. Step 4: Simplify right side
    470,488.38x = 181,449,604,674.27
  5. Step 5: Solve for x
    x = 181,449,604,674.27/470,488.38
  6. Step 6: Final answer
    x = 385,662.24

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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.