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Finding the Fourth Proportional to 470,232.74, 648,921.02 and 255,372.86

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Solution

The fourth proportional to 470,232.74, 648,921.02 and 255,372.86 is: 352,414.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,232.74 : 648,921.02 = 255,372.86 : x
  2. Step 2: Convert to fraction form
    470,232.74/648,921.02 = 255,372.86/x
  3. Step 3: Cross multiply
    470,232.74x = 648,921.02 × 255,372.86
  4. Step 4: Simplify right side
    470,232.74x = 165,716,816,791.52
  5. Step 5: Solve for x
    x = 165,716,816,791.52/470,232.74
  6. Step 6: Final answer
    x = 352,414.46

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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.