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Finding the Fourth Proportional to 470,646.01, 649,496.53 and 255,786.09

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Solution

The fourth proportional to 470,646.01, 649,496.53 and 255,786.09 is: 352,987.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,646.01 : 649,496.53 = 255,786.09 : x
  2. Step 2: Convert to fraction form
    470,646.01/649,496.53 = 255,786.09/x
  3. Step 3: Cross multiply
    470,646.01x = 649,496.53 × 255,786.09
  4. Step 4: Simplify right side
    470,646.01x = 166,132,177,877.27
  5. Step 5: Solve for x
    x = 166,132,177,877.27/470,646.01
  6. Step 6: Final answer
    x = 352,987.54

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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.