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Finding the Fourth Proportional to 470,055.26, 648,676.26 and 255,195.32

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Solution

The fourth proportional to 470,055.26, 648,676.26 and 255,195.32 is: 352,169.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,055.26 : 648,676.26 = 255,195.32 : x
  2. Step 2: Convert to fraction form
    470,055.26/648,676.26 = 255,195.32/x
  3. Step 3: Cross multiply
    470,055.26x = 648,676.26 × 255,195.32
  4. Step 4: Simplify right side
    470,055.26x = 165,539,145,747.10
  5. Step 5: Solve for x
    x = 165,539,145,747.10/470,055.26
  6. Step 6: Final answer
    x = 352,169.54

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1.5x scale

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.