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Finding the Fourth Proportional to 470,347.97, 649,092.27 and 255,500.33

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Solution

The fourth proportional to 470,347.97, 649,092.27 and 255,500.33 is: 352,597.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,347.97 : 649,092.27 = 255,500.33 : x
  2. Step 2: Convert to fraction form
    470,347.97/649,092.27 = 255,500.33/x
  3. Step 3: Cross multiply
    470,347.97x = 649,092.27 × 255,500.33
  4. Step 4: Simplify right side
    470,347.97x = 165,843,284,662.49
  5. Step 5: Solve for x
    x = 165,843,284,662.49/470,347.97
  6. Step 6: Final answer
    x = 352,597.01

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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.