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Finding the Fourth Proportional to 470,754.09, 649,953.44 and 361,664.10

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Solution

The fourth proportional to 470,754.09, 649,953.44 and 361,664.10 is: 499,336.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,754.09 : 649,953.44 = 361,664.10 : x
  2. Step 2: Convert to fraction form
    470,754.09/649,953.44 = 361,664.10/x
  3. Step 3: Cross multiply
    470,754.09x = 649,953.44 × 361,664.10
  4. Step 4: Simplify right side
    470,754.09x = 235,064,825,919.50
  5. Step 5: Solve for x
    x = 235,064,825,919.50/470,754.09
  6. Step 6: Final answer
    x = 499,336.77

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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.