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Finding the Fourth Proportional to 470,601.27, 649,421.22 and 255,742.08

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Solution

The fourth proportional to 470,601.27, 649,421.22 and 255,742.08 is: 352,919.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,601.27 : 649,421.22 = 255,742.08 : x
  2. Step 2: Convert to fraction form
    470,601.27/649,421.22 = 255,742.08/x
  3. Step 3: Cross multiply
    470,601.27x = 649,421.22 × 255,742.08
  4. Step 4: Simplify right side
    470,601.27x = 166,084,333,598.94
  5. Step 5: Solve for x
    x = 166,084,333,598.94/470,601.27
  6. Step 6: Final answer
    x = 352,919.43

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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.