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Finding the Fourth Proportional to 470,693.48, 649,560.96 and 255,833.51

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Solution

The fourth proportional to 470,693.48, 649,560.96 and 255,833.51 is: 353,052.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,693.48 : 649,560.96 = 255,833.51 : x
  2. Step 2: Convert to fraction form
    470,693.48/649,560.96 = 255,833.51/x
  3. Step 3: Cross multiply
    470,693.48x = 649,560.96 × 255,833.51
  4. Step 4: Simplify right side
    470,693.48x = 166,179,457,107.97
  5. Step 5: Solve for x
    x = 166,179,457,107.97/470,693.48
  6. Step 6: Final answer
    x = 353,052.39

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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.