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Finding the Fourth Proportional to 470,699.51, 649,571.94 and 255,839.58

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Solution

The fourth proportional to 470,699.51, 649,571.94 and 255,839.58 is: 353,062.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,699.51 : 649,571.94 = 255,839.58 : x
  2. Step 2: Convert to fraction form
    470,699.51/649,571.94 = 255,839.58/x
  3. Step 3: Cross multiply
    470,699.51x = 649,571.94 × 255,839.58
  4. Step 4: Simplify right side
    470,699.51x = 166,186,212,309.39
  5. Step 5: Solve for x
    x = 166,186,212,309.39/470,699.51
  6. Step 6: Final answer
    x = 353,062.22

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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.