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Finding the Fourth Proportional to 470,533.38, 649,262.97 and 279,541.86

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Solution

The fourth proportional to 470,533.38, 649,262.97 and 279,541.86 is: 385,724.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,533.38 : 649,262.97 = 279,541.86 : x
  2. Step 2: Convert to fraction form
    470,533.38/649,262.97 = 279,541.86/x
  3. Step 3: Cross multiply
    470,533.38x = 649,262.97 × 279,541.86
  4. Step 4: Simplify right side
    470,533.38x = 181,496,178,262.92
  5. Step 5: Solve for x
    x = 181,496,178,262.92/470,533.38
  6. Step 6: Final answer
    x = 385,724.34

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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.