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Finding the Fourth Proportional to 470,342.66, 648,455.24 and 339,410.43

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Solution

The fourth proportional to 470,342.66, 648,455.24 and 339,410.43 is: 467,940.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,342.66 : 648,455.24 = 339,410.43 : x
  2. Step 2: Convert to fraction form
    470,342.66/648,455.24 = 339,410.43/x
  3. Step 3: Cross multiply
    470,342.66x = 648,455.24 × 339,410.43
  4. Step 4: Simplify right side
    470,342.66x = 220,092,471,844.15
  5. Step 5: Solve for x
    x = 220,092,471,844.15/470,342.66
  6. Step 6: Final answer
    x = 467,940.70

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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.